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Finding the Third Proportional to 22,720 and 48,140

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Solution

The third proportional to 22,720 and 48,140 is: 102,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720 : 48,140 = 48,140 : x
  2. Step 2: Convert to fraction form
    22,720/48,140 = 48,140/x
  3. Step 3: Cross multiply
    22,720x = 48,140 × 48,140
  4. Step 4: Simplify right side
    22,720x = 2,317,459,600
  5. Step 5: Solve for x
    x = 2,317,459,600/22,720
  6. Step 6: Final answer
    x = 102,000.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.