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Finding the Third Proportional to 14,470 and 21,701

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Solution

The third proportional to 14,470 and 21,701 is: 32,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470 : 21,701 = 21,701 : x
  2. Step 2: Convert to fraction form
    14,470/21,701 = 21,701/x
  3. Step 3: Cross multiply
    14,470x = 21,701 × 21,701
  4. Step 4: Simplify right side
    14,470x = 470,933,401
  5. Step 5: Solve for x
    x = 470,933,401/14,470
  6. Step 6: Final answer
    x = 32,545.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.