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Finding the Third Proportional to 14,222 and 22,721

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Solution

The third proportional to 14,222 and 22,721 is: 36,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222 : 22,721 = 22,721 : x
  2. Step 2: Convert to fraction form
    14,222/22,721 = 22,721/x
  3. Step 3: Cross multiply
    14,222x = 22,721 × 22,721
  4. Step 4: Simplify right side
    14,222x = 516,243,841
  5. Step 5: Solve for x
    x = 516,243,841/14,222
  6. Step 6: Final answer
    x = 36,298.96

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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.