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Finding the Third Proportional to 29,382.38 and 64,596.75

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Solution

The third proportional to 29,382.38 and 64,596.75 is: 142,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382.38 : 64,596.75 = 64,596.75 : x
  2. Step 2: Convert to fraction form
    29,382.38/64,596.75 = 64,596.75/x
  3. Step 3: Cross multiply
    29,382.38x = 64,596.75 × 64,596.75
  4. Step 4: Simplify right side
    29,382.38x = 4,172,740,110.56
  5. Step 5: Solve for x
    x = 4,172,740,110.56/29,382.38
  6. Step 6: Final answer
    x = 142,015.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.