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Finding the Third Proportional to 37,679 and 58,250.50

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Solution

The third proportional to 37,679 and 58,250.50 is: 90,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,679 : 58,250.50 = 58,250.50 : x
  2. Step 2: Convert to fraction form
    37,679/58,250.50 = 58,250.50/x
  3. Step 3: Cross multiply
    37,679x = 58,250.50 × 58,250.50
  4. Step 4: Simplify right side
    37,679x = 3,393,120,750.25
  5. Step 5: Solve for x
    x = 3,393,120,750.25/37,679
  6. Step 6: Final answer
    x = 90,053.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.