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Finding the Third Proportional to 37,999.75 and 58,325.75

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Solution

The third proportional to 37,999.75 and 58,325.75 is: 89,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.75 : 58,325.75 = 58,325.75 : x
  2. Step 2: Convert to fraction form
    37,999.75/58,325.75 = 58,325.75/x
  3. Step 3: Cross multiply
    37,999.75x = 58,325.75 × 58,325.75
  4. Step 4: Simplify right side
    37,999.75x = 3,401,893,113.06
  5. Step 5: Solve for x
    x = 3,401,893,113.06/37,999.75
  6. Step 6: Final answer
    x = 89,524.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.