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Finding the Third Proportional to 38,432 and 83,596

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Solution

The third proportional to 38,432 and 83,596 is: 181,835.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,432 : 83,596 = 83,596 : x
  2. Step 2: Convert to fraction form
    38,432/83,596 = 83,596/x
  3. Step 3: Cross multiply
    38,432x = 83,596 × 83,596
  4. Step 4: Simplify right side
    38,432x = 6,988,291,216
  5. Step 5: Solve for x
    x = 6,988,291,216/38,432
  6. Step 6: Final answer
    x = 181,835.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.