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Finding the Third Proportional to 14,407 and 22,359

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Solution

The third proportional to 14,407 and 22,359 is: 34,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,407 : 22,359 = 22,359 : x
  2. Step 2: Convert to fraction form
    14,407/22,359 = 22,359/x
  3. Step 3: Cross multiply
    14,407x = 22,359 × 22,359
  4. Step 4: Simplify right side
    14,407x = 499,924,881
  5. Step 5: Solve for x
    x = 499,924,881/14,407
  6. Step 6: Final answer
    x = 34,700.14

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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.