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Finding the Third Proportional to 42,387.75 and 65,530.13

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Solution

The third proportional to 42,387.75 and 65,530.13 is: 101,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,387.75 : 65,530.13 = 65,530.13 : x
  2. Step 2: Convert to fraction form
    42,387.75/65,530.13 = 65,530.13/x
  3. Step 3: Cross multiply
    42,387.75x = 65,530.13 × 65,530.13
  4. Step 4: Simplify right side
    42,387.75x = 4,294,197,282.52
  5. Step 5: Solve for x
    x = 4,294,197,282.52/42,387.75
  6. Step 6: Final answer
    x = 101,307.51

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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.