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Finding the Third Proportional to 14,002 and 20,590

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Solution

The third proportional to 14,002 and 20,590 is: 30,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002 : 20,590 = 20,590 : x
  2. Step 2: Convert to fraction form
    14,002/20,590 = 20,590/x
  3. Step 3: Cross multiply
    14,002x = 20,590 × 20,590
  4. Step 4: Simplify right side
    14,002x = 423,948,100
  5. Step 5: Solve for x
    x = 423,948,100/14,002
  6. Step 6: Final answer
    x = 30,277.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.