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Finding the Third Proportional to 15,663 and 24,281

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Solution

The third proportional to 15,663 and 24,281 is: 37,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,663 : 24,281 = 24,281 : x
  2. Step 2: Convert to fraction form
    15,663/24,281 = 24,281/x
  3. Step 3: Cross multiply
    15,663x = 24,281 × 24,281
  4. Step 4: Simplify right side
    15,663x = 589,566,961
  5. Step 5: Solve for x
    x = 589,566,961/15,663
  6. Step 6: Final answer
    x = 37,640.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.