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Finding the Third Proportional to 38,130.12 and 57,972.59

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Solution

The third proportional to 38,130.12 and 57,972.59 is: 88,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,130.12 : 57,972.59 = 57,972.59 : x
  2. Step 2: Convert to fraction form
    38,130.12/57,972.59 = 57,972.59/x
  3. Step 3: Cross multiply
    38,130.12x = 57,972.59 × 57,972.59
  4. Step 4: Simplify right side
    38,130.12x = 3,360,820,720.28
  5. Step 5: Solve for x
    x = 3,360,820,720.28/38,130.12
  6. Step 6: Final answer
    x = 88,140.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.