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Finding the Third Proportional to 39,854 and 85,432

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Solution

The third proportional to 39,854 and 85,432 is: 183,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,854 : 85,432 = 85,432 : x
  2. Step 2: Convert to fraction form
    39,854/85,432 = 85,432/x
  3. Step 3: Cross multiply
    39,854x = 85,432 × 85,432
  4. Step 4: Simplify right side
    39,854x = 7,298,626,624
  5. Step 5: Solve for x
    x = 7,298,626,624/39,854
  6. Step 6: Final answer
    x = 183,134.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.