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Finding the Third Proportional to 48,032 and 71,856

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Solution

The third proportional to 48,032 and 71,856 is: 107,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,032 : 71,856 = 71,856 : x
  2. Step 2: Convert to fraction form
    48,032/71,856 = 71,856/x
  3. Step 3: Cross multiply
    48,032x = 71,856 × 71,856
  4. Step 4: Simplify right side
    48,032x = 5,163,284,736
  5. Step 5: Solve for x
    x = 5,163,284,736/48,032
  6. Step 6: Final answer
    x = 107,496.77

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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.