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Finding the Third Proportional to 31,714 and 48,765

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Solution

The third proportional to 31,714 and 48,765 is: 74,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714 : 48,765 = 48,765 : x
  2. Step 2: Convert to fraction form
    31,714/48,765 = 48,765/x
  3. Step 3: Cross multiply
    31,714x = 48,765 × 48,765
  4. Step 4: Simplify right side
    31,714x = 2,378,025,225
  5. Step 5: Solve for x
    x = 2,378,025,225/31,714
  6. Step 6: Final answer
    x = 74,983.45

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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.