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Finding the Third Proportional to 31,911.52 and 48,715.70

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Solution

The third proportional to 31,911.52 and 48,715.70 is: 74,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,911.52 : 48,715.70 = 48,715.70 : x
  2. Step 2: Convert to fraction form
    31,911.52/48,715.70 = 48,715.70/x
  3. Step 3: Cross multiply
    31,911.52x = 48,715.70 × 48,715.70
  4. Step 4: Simplify right side
    31,911.52x = 2,373,218,969.04
  5. Step 5: Solve for x
    x = 2,373,218,969.04/31,911.52
  6. Step 6: Final answer
    x = 74,368.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.