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Finding the Third Proportional to 31,576 and 48,660

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Solution

The third proportional to 31,576 and 48,660 is: 74,987.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,576 : 48,660 = 48,660 : x
  2. Step 2: Convert to fraction form
    31,576/48,660 = 48,660/x
  3. Step 3: Cross multiply
    31,576x = 48,660 × 48,660
  4. Step 4: Simplify right side
    31,576x = 2,367,795,600
  5. Step 5: Solve for x
    x = 2,367,795,600/31,576
  6. Step 6: Final answer
    x = 74,987.19

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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.