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Finding the Third Proportional to 14,801 and 22,510

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Solution

The third proportional to 14,801 and 22,510 is: 34,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801 : 22,510 = 22,510 : x
  2. Step 2: Convert to fraction form
    14,801/22,510 = 22,510/x
  3. Step 3: Cross multiply
    14,801x = 22,510 × 22,510
  4. Step 4: Simplify right side
    14,801x = 506,700,100
  5. Step 5: Solve for x
    x = 506,700,100/14,801
  6. Step 6: Final answer
    x = 34,234.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.