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Finding the Third Proportional to 39,377.81 and 86,410.13

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Solution

The third proportional to 39,377.81 and 86,410.13 is: 189,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,377.81 : 86,410.13 = 86,410.13 : x
  2. Step 2: Convert to fraction form
    39,377.81/86,410.13 = 86,410.13/x
  3. Step 3: Cross multiply
    39,377.81x = 86,410.13 × 86,410.13
  4. Step 4: Simplify right side
    39,377.81x = 7,466,709,702.52
  5. Step 5: Solve for x
    x = 7,466,709,702.52/39,377.81
  6. Step 6: Final answer
    x = 189,617.18

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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.