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Finding the Third Proportional to 14,506 and 22,061

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Solution

The third proportional to 14,506 and 22,061 is: 33,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506 : 22,061 = 22,061 : x
  2. Step 2: Convert to fraction form
    14,506/22,061 = 22,061/x
  3. Step 3: Cross multiply
    14,506x = 22,061 × 22,061
  4. Step 4: Simplify right side
    14,506x = 486,687,721
  5. Step 5: Solve for x
    x = 486,687,721/14,506
  6. Step 6: Final answer
    x = 33,550.79

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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.