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Finding the Third Proportional to 20,541 and 29,098.50

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Solution

The third proportional to 20,541 and 29,098.50 is: 41,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541 : 29,098.50 = 29,098.50 : x
  2. Step 2: Convert to fraction form
    20,541/29,098.50 = 29,098.50/x
  3. Step 3: Cross multiply
    20,541x = 29,098.50 × 29,098.50
  4. Step 4: Simplify right side
    20,541x = 846,722,702.25
  5. Step 5: Solve for x
    x = 846,722,702.25/20,541
  6. Step 6: Final answer
    x = 41,221.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.