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Finding the Third Proportional to 15,772 and 24,419

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Solution

The third proportional to 15,772 and 24,419 is: 37,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772 : 24,419 = 24,419 : x
  2. Step 2: Convert to fraction form
    15,772/24,419 = 24,419/x
  3. Step 3: Cross multiply
    15,772x = 24,419 × 24,419
  4. Step 4: Simplify right side
    15,772x = 596,287,561
  5. Step 5: Solve for x
    x = 596,287,561/15,772
  6. Step 6: Final answer
    x = 37,806.72

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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.