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Finding the Third Proportional to 37,999.13 and 58,325.06

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Solution

The third proportional to 37,999.13 and 58,325.06 is: 89,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999.13 : 58,325.06 = 58,325.06 : x
  2. Step 2: Convert to fraction form
    37,999.13/58,325.06 = 58,325.06/x
  3. Step 3: Cross multiply
    37,999.13x = 58,325.06 × 58,325.06
  4. Step 4: Simplify right side
    37,999.13x = 3,401,812,915.63
  5. Step 5: Solve for x
    x = 3,401,812,915.63/37,999.13
  6. Step 6: Final answer
    x = 89,523.45

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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.