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Finding the Third Proportional to 39,411.66 and 86,487.95

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Solution

The third proportional to 39,411.66 and 86,487.95 is: 189,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,411.66 : 86,487.95 = 86,487.95 : x
  2. Step 2: Convert to fraction form
    39,411.66/86,487.95 = 86,487.95/x
  3. Step 3: Cross multiply
    39,411.66x = 86,487.95 × 86,487.95
  4. Step 4: Simplify right side
    39,411.66x = 7,480,166,035.75
  5. Step 5: Solve for x
    x = 7,480,166,035.75/39,411.66
  6. Step 6: Final answer
    x = 189,795.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.