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Finding the Third Proportional to 48,566 and 75,005

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Solution

The third proportional to 48,566 and 75,005 is: 115,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,566 : 75,005 = 75,005 : x
  2. Step 2: Convert to fraction form
    48,566/75,005 = 75,005/x
  3. Step 3: Cross multiply
    48,566x = 75,005 × 75,005
  4. Step 4: Simplify right side
    48,566x = 5,625,750,025
  5. Step 5: Solve for x
    x = 5,625,750,025/48,566
  6. Step 6: Final answer
    x = 115,837.21

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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.