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Finding the Third Proportional to 14,210 and 22,701

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Solution

The third proportional to 14,210 and 22,701 is: 36,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210 : 22,701 = 22,701 : x
  2. Step 2: Convert to fraction form
    14,210/22,701 = 22,701/x
  3. Step 3: Cross multiply
    14,210x = 22,701 × 22,701
  4. Step 4: Simplify right side
    14,210x = 515,335,401
  5. Step 5: Solve for x
    x = 515,335,401/14,210
  6. Step 6: Final answer
    x = 36,265.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.