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Finding the Third Proportional to 38,376.75 and 61,494.75

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Solution

The third proportional to 38,376.75 and 61,494.75 is: 98,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376.75 : 61,494.75 = 61,494.75 : x
  2. Step 2: Convert to fraction form
    38,376.75/61,494.75 = 61,494.75/x
  3. Step 3: Cross multiply
    38,376.75x = 61,494.75 × 61,494.75
  4. Step 4: Simplify right side
    38,376.75x = 3,781,604,277.56
  5. Step 5: Solve for x
    x = 3,781,604,277.56/38,376.75
  6. Step 6: Final answer
    x = 98,538.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.