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Finding the Third Proportional to 15,747 and 22,500

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Solution

The third proportional to 15,747 and 22,500 is: 32,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,747 : 22,500 = 22,500 : x
  2. Step 2: Convert to fraction form
    15,747/22,500 = 22,500/x
  3. Step 3: Cross multiply
    15,747x = 22,500 × 22,500
  4. Step 4: Simplify right side
    15,747x = 506,250,000
  5. Step 5: Solve for x
    x = 506,250,000/15,747
  6. Step 6: Final answer
    x = 32,148.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.