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Finding the Third Proportional to 15,905 and 27,958

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Solution

The third proportional to 15,905 and 27,958 is: 49,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,905 : 27,958 = 27,958 : x
  2. Step 2: Convert to fraction form
    15,905/27,958 = 27,958/x
  3. Step 3: Cross multiply
    15,905x = 27,958 × 27,958
  4. Step 4: Simplify right side
    15,905x = 781,649,764
  5. Step 5: Solve for x
    x = 781,649,764/15,905
  6. Step 6: Final answer
    x = 49,144.91

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.