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Finding the Third Proportional to 15,806 and 21,432

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Solution

The third proportional to 15,806 and 21,432 is: 29,060.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806 : 21,432 = 21,432 : x
  2. Step 2: Convert to fraction form
    15,806/21,432 = 21,432/x
  3. Step 3: Cross multiply
    15,806x = 21,432 × 21,432
  4. Step 4: Simplify right side
    15,806x = 459,330,624
  5. Step 5: Solve for x
    x = 459,330,624/15,806
  6. Step 6: Final answer
    x = 29,060.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.