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Finding the Third Proportional to 20,522 and 48,416

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Solution

The third proportional to 20,522 and 48,416 is: 114,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522 : 48,416 = 48,416 : x
  2. Step 2: Convert to fraction form
    20,522/48,416 = 48,416/x
  3. Step 3: Cross multiply
    20,522x = 48,416 × 48,416
  4. Step 4: Simplify right side
    20,522x = 2,344,109,056
  5. Step 5: Solve for x
    x = 2,344,109,056/20,522
  6. Step 6: Final answer
    x = 114,224.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.