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Finding the Third Proportional to 38,376.75 and 53,965.50

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Solution

The third proportional to 38,376.75 and 53,965.50 is: 75,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,376.75 : 53,965.50 = 53,965.50 : x
  2. Step 2: Convert to fraction form
    38,376.75/53,965.50 = 53,965.50/x
  3. Step 3: Cross multiply
    38,376.75x = 53,965.50 × 53,965.50
  4. Step 4: Simplify right side
    38,376.75x = 2,912,275,190.25
  5. Step 5: Solve for x
    x = 2,912,275,190.25/38,376.75
  6. Step 6: Final answer
    x = 75,886.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.