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Finding the Third Proportional to 14,294 and 22,089

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Solution

The third proportional to 14,294 and 22,089 is: 34,134.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294 : 22,089 = 22,089 : x
  2. Step 2: Convert to fraction form
    14,294/22,089 = 22,089/x
  3. Step 3: Cross multiply
    14,294x = 22,089 × 22,089
  4. Step 4: Simplify right side
    14,294x = 487,923,921
  5. Step 5: Solve for x
    x = 487,923,921/14,294
  6. Step 6: Final answer
    x = 34,134.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.