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Finding the Third Proportional to 41,580 and 48,816

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Solution

The third proportional to 41,580 and 48,816 is: 57,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580 : 48,816 = 48,816 : x
  2. Step 2: Convert to fraction form
    41,580/48,816 = 48,816/x
  3. Step 3: Cross multiply
    41,580x = 48,816 × 48,816
  4. Step 4: Simplify right side
    41,580x = 2,383,001,856
  5. Step 5: Solve for x
    x = 2,383,001,856/41,580
  6. Step 6: Final answer
    x = 57,311.25

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.