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Finding the Third Proportional to 32,947.50 and 71,860.50

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Solution

The third proportional to 32,947.50 and 71,860.50 is: 156,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.50 : 71,860.50 = 71,860.50 : x
  2. Step 2: Convert to fraction form
    32,947.50/71,860.50 = 71,860.50/x
  3. Step 3: Cross multiply
    32,947.50x = 71,860.50 × 71,860.50
  4. Step 4: Simplify right side
    32,947.50x = 5,163,931,460.25
  5. Step 5: Solve for x
    x = 5,163,931,460.25/32,947.50
  6. Step 6: Final answer
    x = 156,732.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.