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Finding the Third Proportional to 20,314.13 and 29,544.75

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Solution

The third proportional to 20,314.13 and 29,544.75 is: 42,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.13 : 29,544.75 = 29,544.75 : x
  2. Step 2: Convert to fraction form
    20,314.13/29,544.75 = 29,544.75/x
  3. Step 3: Cross multiply
    20,314.13x = 29,544.75 × 29,544.75
  4. Step 4: Simplify right side
    20,314.13x = 872,892,252.56
  5. Step 5: Solve for x
    x = 872,892,252.56/20,314.13
  6. Step 6: Final answer
    x = 42,969.72

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.