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Finding the Third Proportional to 15,798 and 24,571

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Solution

The third proportional to 15,798 and 24,571 is: 38,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,798 : 24,571 = 24,571 : x
  2. Step 2: Convert to fraction form
    15,798/24,571 = 24,571/x
  3. Step 3: Cross multiply
    15,798x = 24,571 × 24,571
  4. Step 4: Simplify right side
    15,798x = 603,734,041
  5. Step 5: Solve for x
    x = 603,734,041/15,798
  6. Step 6: Final answer
    x = 38,215.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.