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Finding the Third Proportional to 38,904.75 and 60,966

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Solution

The third proportional to 38,904.75 and 60,966 is: 95,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,904.75 : 60,966 = 60,966 : x
  2. Step 2: Convert to fraction form
    38,904.75/60,966 = 60,966/x
  3. Step 3: Cross multiply
    38,904.75x = 60,966 × 60,966
  4. Step 4: Simplify right side
    38,904.75x = 3,716,853,156
  5. Step 5: Solve for x
    x = 3,716,853,156/38,904.75
  6. Step 6: Final answer
    x = 95,537.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.