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Finding the Third Proportional to 22,014 and 48,402

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Solution

The third proportional to 22,014 and 48,402 is: 106,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,014 : 48,402 = 48,402 : x
  2. Step 2: Convert to fraction form
    22,014/48,402 = 48,402/x
  3. Step 3: Cross multiply
    22,014x = 48,402 × 48,402
  4. Step 4: Simplify right side
    22,014x = 2,342,753,604
  5. Step 5: Solve for x
    x = 2,342,753,604/22,014
  6. Step 6: Final answer
    x = 106,421.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.