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Finding the Third Proportional to 22,464 and 48,209

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Solution

The third proportional to 22,464 and 48,209 is: 103,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464 : 48,209 = 48,209 : x
  2. Step 2: Convert to fraction form
    22,464/48,209 = 48,209/x
  3. Step 3: Cross multiply
    22,464x = 48,209 × 48,209
  4. Step 4: Simplify right side
    22,464x = 2,324,107,681
  5. Step 5: Solve for x
    x = 2,324,107,681/22,464
  6. Step 6: Final answer
    x = 103,459.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.