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Finding the Third Proportional to 41,910 and 55,952

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Solution

The third proportional to 41,910 and 55,952 is: 74,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,910 : 55,952 = 55,952 : x
  2. Step 2: Convert to fraction form
    41,910/55,952 = 55,952/x
  3. Step 3: Cross multiply
    41,910x = 55,952 × 55,952
  4. Step 4: Simplify right side
    41,910x = 3,130,626,304
  5. Step 5: Solve for x
    x = 3,130,626,304/41,910
  6. Step 6: Final answer
    x = 74,698.79

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.