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Finding the Third Proportional to 32,948.25 and 72,456.75

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Solution

The third proportional to 32,948.25 and 72,456.75 is: 159,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948.25 : 72,456.75 = 72,456.75 : x
  2. Step 2: Convert to fraction form
    32,948.25/72,456.75 = 72,456.75/x
  3. Step 3: Cross multiply
    32,948.25x = 72,456.75 × 72,456.75
  4. Step 4: Simplify right side
    32,948.25x = 5,249,980,620.56
  5. Step 5: Solve for x
    x = 5,249,980,620.56/32,948.25
  6. Step 6: Final answer
    x = 159,340.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.