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Finding the Third Proportional to 31,712.06 and 48,760.31

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Solution

The third proportional to 31,712.06 and 48,760.31 is: 74,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.06 : 48,760.31 = 48,760.31 : x
  2. Step 2: Convert to fraction form
    31,712.06/48,760.31 = 48,760.31/x
  3. Step 3: Cross multiply
    31,712.06x = 48,760.31 × 48,760.31
  4. Step 4: Simplify right side
    31,712.06x = 2,377,568,075.10
  5. Step 5: Solve for x
    x = 2,377,568,075.10/31,712.06
  6. Step 6: Final answer
    x = 74,973.62

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.