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Finding the Third Proportional to 10,542 and 22,713

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Solution

The third proportional to 10,542 and 22,713 is: 48,935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542 : 22,713 = 22,713 : x
  2. Step 2: Convert to fraction form
    10,542/22,713 = 22,713/x
  3. Step 3: Cross multiply
    10,542x = 22,713 × 22,713
  4. Step 4: Simplify right side
    10,542x = 515,880,369
  5. Step 5: Solve for x
    x = 515,880,369/10,542
  6. Step 6: Final answer
    x = 48,935.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.