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Finding the Third Proportional to 32,877.38 and 71,905.50

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Solution

The third proportional to 32,877.38 and 71,905.50 is: 157,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,877.38 : 71,905.50 = 71,905.50 : x
  2. Step 2: Convert to fraction form
    32,877.38/71,905.50 = 71,905.50/x
  3. Step 3: Cross multiply
    32,877.38x = 71,905.50 × 71,905.50
  4. Step 4: Simplify right side
    32,877.38x = 5,170,400,930.25
  5. Step 5: Solve for x
    x = 5,170,400,930.25/32,877.38
  6. Step 6: Final answer
    x = 157,263.19

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.