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Finding the Third Proportional to 12,565.13 and 28,410.75

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Solution

The third proportional to 12,565.13 and 28,410.75 is: 64,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.13 : 28,410.75 = 28,410.75 : x
  2. Step 2: Convert to fraction form
    12,565.13/28,410.75 = 28,410.75/x
  3. Step 3: Cross multiply
    12,565.13x = 28,410.75 × 28,410.75
  4. Step 4: Simplify right side
    12,565.13x = 807,170,715.56
  5. Step 5: Solve for x
    x = 807,170,715.56/12,565.13
  6. Step 6: Final answer
    x = 64,238.97

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.