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Finding the Third Proportional to 32,801.63 and 52,218.75

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Solution

The third proportional to 32,801.63 and 52,218.75 is: 83,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,801.63 : 52,218.75 = 52,218.75 : x
  2. Step 2: Convert to fraction form
    32,801.63/52,218.75 = 52,218.75/x
  3. Step 3: Cross multiply
    32,801.63x = 52,218.75 × 52,218.75
  4. Step 4: Simplify right side
    32,801.63x = 2,726,797,851.56
  5. Step 5: Solve for x
    x = 2,726,797,851.56/32,801.63
  6. Step 6: Final answer
    x = 83,129.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.