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Finding the Third Proportional to 14,031 and 22,551

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Solution

The third proportional to 14,031 and 22,551 is: 36,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031 : 22,551 = 22,551 : x
  2. Step 2: Convert to fraction form
    14,031/22,551 = 22,551/x
  3. Step 3: Cross multiply
    14,031x = 22,551 × 22,551
  4. Step 4: Simplify right side
    14,031x = 508,547,601
  5. Step 5: Solve for x
    x = 508,547,601/14,031
  6. Step 6: Final answer
    x = 36,244.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.