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Finding the Third Proportional to 40,401.75 and 69,472.50

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Solution

The third proportional to 40,401.75 and 69,472.50 is: 119,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,401.75 : 69,472.50 = 69,472.50 : x
  2. Step 2: Convert to fraction form
    40,401.75/69,472.50 = 69,472.50/x
  3. Step 3: Cross multiply
    40,401.75x = 69,472.50 × 69,472.50
  4. Step 4: Simplify right side
    40,401.75x = 4,826,428,256.25
  5. Step 5: Solve for x
    x = 4,826,428,256.25/40,401.75
  6. Step 6: Final answer
    x = 119,460.87

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.