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Finding the Third Proportional to 48,841 and 75,011

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Solution

The third proportional to 48,841 and 75,011 is: 115,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,841 : 75,011 = 75,011 : x
  2. Step 2: Convert to fraction form
    48,841/75,011 = 75,011/x
  3. Step 3: Cross multiply
    48,841x = 75,011 × 75,011
  4. Step 4: Simplify right side
    48,841x = 5,626,650,121
  5. Step 5: Solve for x
    x = 5,626,650,121/48,841
  6. Step 6: Final answer
    x = 115,203.42

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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.