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Finding the Third Proportional to 48,563 and 75,001

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Solution

The third proportional to 48,563 and 75,001 is: 115,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,563 : 75,001 = 75,001 : x
  2. Step 2: Convert to fraction form
    48,563/75,001 = 75,001/x
  3. Step 3: Cross multiply
    48,563x = 75,001 × 75,001
  4. Step 4: Simplify right side
    48,563x = 5,625,150,001
  5. Step 5: Solve for x
    x = 5,625,150,001/48,563
  6. Step 6: Final answer
    x = 115,832.01

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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.