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Finding the Third Proportional to 21,917.25 and 32,761.13

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Solution

The third proportional to 21,917.25 and 32,761.13 is: 48,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,917.25 : 32,761.13 = 32,761.13 : x
  2. Step 2: Convert to fraction form
    21,917.25/32,761.13 = 32,761.13/x
  3. Step 3: Cross multiply
    21,917.25x = 32,761.13 × 32,761.13
  4. Step 4: Simplify right side
    21,917.25x = 1,073,291,311.27
  5. Step 5: Solve for x
    x = 1,073,291,311.27/21,917.25
  6. Step 6: Final answer
    x = 48,970.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.