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Finding the Third Proportional to 15,776 and 24,520

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Solution

The third proportional to 15,776 and 24,520 is: 38,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776 : 24,520 = 24,520 : x
  2. Step 2: Convert to fraction form
    15,776/24,520 = 24,520/x
  3. Step 3: Cross multiply
    15,776x = 24,520 × 24,520
  4. Step 4: Simplify right side
    15,776x = 601,230,400
  5. Step 5: Solve for x
    x = 601,230,400/15,776
  6. Step 6: Final answer
    x = 38,110.45

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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.