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Finding the Third Proportional to 48,040 and 71,868

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Solution

The third proportional to 48,040 and 71,868 is: 107,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,040 : 71,868 = 71,868 : x
  2. Step 2: Convert to fraction form
    48,040/71,868 = 71,868/x
  3. Step 3: Cross multiply
    48,040x = 71,868 × 71,868
  4. Step 4: Simplify right side
    48,040x = 5,165,009,424
  5. Step 5: Solve for x
    x = 5,165,009,424/48,040
  6. Step 6: Final answer
    x = 107,514.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.