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Finding the Third Proportional to 32,872.50 and 53,407.13

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Solution

The third proportional to 32,872.50 and 53,407.13 is: 86,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872.50 : 53,407.13 = 53,407.13 : x
  2. Step 2: Convert to fraction form
    32,872.50/53,407.13 = 53,407.13/x
  3. Step 3: Cross multiply
    32,872.50x = 53,407.13 × 53,407.13
  4. Step 4: Simplify right side
    32,872.50x = 2,852,321,000.77
  5. Step 5: Solve for x
    x = 2,852,321,000.77/32,872.50
  6. Step 6: Final answer
    x = 86,769.21

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.