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Finding the Third Proportional to 30,141.28 and 64,279.41

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Solution

The third proportional to 30,141.28 and 64,279.41 is: 137,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141.28 : 64,279.41 = 64,279.41 : x
  2. Step 2: Convert to fraction form
    30,141.28/64,279.41 = 64,279.41/x
  3. Step 3: Cross multiply
    30,141.28x = 64,279.41 × 64,279.41
  4. Step 4: Simplify right side
    30,141.28x = 4,131,842,067.85
  5. Step 5: Solve for x
    x = 4,131,842,067.85/30,141.28
  6. Step 6: Final answer
    x = 137,082.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.