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Finding the Third Proportional to 22,352 and 44,140

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Solution

The third proportional to 22,352 and 44,140 is: 87,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352 : 44,140 = 44,140 : x
  2. Step 2: Convert to fraction form
    22,352/44,140 = 44,140/x
  3. Step 3: Cross multiply
    22,352x = 44,140 × 44,140
  4. Step 4: Simplify right side
    22,352x = 1,948,339,600
  5. Step 5: Solve for x
    x = 1,948,339,600/22,352
  6. Step 6: Final answer
    x = 87,166.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.