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Finding the Third Proportional to 9,632 and 15,416

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Solution

The third proportional to 9,632 and 15,416 is: 24,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632 : 15,416 = 15,416 : x
  2. Step 2: Convert to fraction form
    9,632/15,416 = 15,416/x
  3. Step 3: Cross multiply
    9,632x = 15,416 × 15,416
  4. Step 4: Simplify right side
    9,632x = 237,653,056
  5. Step 5: Solve for x
    x = 237,653,056/9,632
  6. Step 6: Final answer
    x = 24,673.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.