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Finding the Third Proportional to 13,972 and 21,730

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Solution

The third proportional to 13,972 and 21,730 is: 33,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972 : 21,730 = 21,730 : x
  2. Step 2: Convert to fraction form
    13,972/21,730 = 21,730/x
  3. Step 3: Cross multiply
    13,972x = 21,730 × 21,730
  4. Step 4: Simplify right side
    13,972x = 472,192,900
  5. Step 5: Solve for x
    x = 472,192,900/13,972
  6. Step 6: Final answer
    x = 33,795.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.