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Finding the Third Proportional to 10,202 and 22,408

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Solution

The third proportional to 10,202 and 22,408 is: 49,217.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202 : 22,408 = 22,408 : x
  2. Step 2: Convert to fraction form
    10,202/22,408 = 22,408/x
  3. Step 3: Cross multiply
    10,202x = 22,408 × 22,408
  4. Step 4: Simplify right side
    10,202x = 502,118,464
  5. Step 5: Solve for x
    x = 502,118,464/10,202
  6. Step 6: Final answer
    x = 49,217.65

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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.