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Finding the Third Proportional to 30,268.13 and 39,966.75

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Solution

The third proportional to 30,268.13 and 39,966.75 is: 52,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.13 : 39,966.75 = 39,966.75 : x
  2. Step 2: Convert to fraction form
    30,268.13/39,966.75 = 39,966.75/x
  3. Step 3: Cross multiply
    30,268.13x = 39,966.75 × 39,966.75
  4. Step 4: Simplify right side
    30,268.13x = 1,597,341,105.56
  5. Step 5: Solve for x
    x = 1,597,341,105.56/30,268.13
  6. Step 6: Final answer
    x = 52,773.04

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.