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Finding the Third Proportional to 39,428.56 and 86,490.56

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Solution

The third proportional to 39,428.56 and 86,490.56 is: 189,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,428.56 : 86,490.56 = 86,490.56 : x
  2. Step 2: Convert to fraction form
    39,428.56/86,490.56 = 86,490.56/x
  3. Step 3: Cross multiply
    39,428.56x = 86,490.56 × 86,490.56
  4. Step 4: Simplify right side
    39,428.56x = 7,480,617,401.57
  5. Step 5: Solve for x
    x = 7,480,617,401.57/39,428.56
  6. Step 6: Final answer
    x = 189,725.85

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Why These Related Problems?

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