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Finding the Third Proportional to 31,707 and 48,753

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Solution

The third proportional to 31,707 and 48,753 is: 74,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,707 : 48,753 = 48,753 : x
  2. Step 2: Convert to fraction form
    31,707/48,753 = 48,753/x
  3. Step 3: Cross multiply
    31,707x = 48,753 × 48,753
  4. Step 4: Simplify right side
    31,707x = 2,376,855,009
  5. Step 5: Solve for x
    x = 2,376,855,009/31,707
  6. Step 6: Final answer
    x = 74,963.10

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Why These Related Problems?

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