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Finding the Third Proportional to 31,510.25 and 47,265.38

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Solution

The third proportional to 31,510.25 and 47,265.38 is: 70,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,510.25 : 47,265.38 = 47,265.38 : x
  2. Step 2: Convert to fraction form
    31,510.25/47,265.38 = 47,265.38/x
  3. Step 3: Cross multiply
    31,510.25x = 47,265.38 × 47,265.38
  4. Step 4: Simplify right side
    31,510.25x = 2,234,015,673.89
  5. Step 5: Solve for x
    x = 2,234,015,673.89/31,510.25
  6. Step 6: Final answer
    x = 70,898.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.