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Finding the Third Proportional to 21,046.50 and 32,177.25

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Solution

The third proportional to 21,046.50 and 32,177.25 is: 49,194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.50 : 32,177.25 = 32,177.25 : x
  2. Step 2: Convert to fraction form
    21,046.50/32,177.25 = 32,177.25/x
  3. Step 3: Cross multiply
    21,046.50x = 32,177.25 × 32,177.25
  4. Step 4: Simplify right side
    21,046.50x = 1,035,375,417.56
  5. Step 5: Solve for x
    x = 1,035,375,417.56/21,046.50
  6. Step 6: Final answer
    x = 49,194.66

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.