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Finding the Third Proportional to 15,632 and 36,424

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Solution

The third proportional to 15,632 and 36,424 is: 84,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632 : 36,424 = 36,424 : x
  2. Step 2: Convert to fraction form
    15,632/36,424 = 36,424/x
  3. Step 3: Cross multiply
    15,632x = 36,424 × 36,424
  4. Step 4: Simplify right side
    15,632x = 1,326,707,776
  5. Step 5: Solve for x
    x = 1,326,707,776/15,632
  6. Step 6: Final answer
    x = 84,871.28

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.