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Finding the Third Proportional to 39,468.52 and 53,581.50

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Solution

The third proportional to 39,468.52 and 53,581.50 is: 72,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,468.52 : 53,581.50 = 53,581.50 : x
  2. Step 2: Convert to fraction form
    39,468.52/53,581.50 = 53,581.50/x
  3. Step 3: Cross multiply
    39,468.52x = 53,581.50 × 53,581.50
  4. Step 4: Simplify right side
    39,468.52x = 2,870,977,142.25
  5. Step 5: Solve for x
    x = 2,870,977,142.25/39,468.52
  6. Step 6: Final answer
    x = 72,740.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.