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Finding the Third Proportional to 40,358.25 and 72,616.50

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Solution

The third proportional to 40,358.25 and 72,616.50 is: 130,658.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,358.25 : 72,616.50 = 72,616.50 : x
  2. Step 2: Convert to fraction form
    40,358.25/72,616.50 = 72,616.50/x
  3. Step 3: Cross multiply
    40,358.25x = 72,616.50 × 72,616.50
  4. Step 4: Simplify right side
    40,358.25x = 5,273,156,072.25
  5. Step 5: Solve for x
    x = 5,273,156,072.25/40,358.25
  6. Step 6: Final answer
    x = 130,658.69

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.