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Finding the Third Proportional to 8,569.13 and 12,944.81

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Solution

The third proportional to 8,569.13 and 12,944.81 is: 19,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.13 : 12,944.81 = 12,944.81 : x
  2. Step 2: Convert to fraction form
    8,569.13/12,944.81 = 12,944.81/x
  3. Step 3: Cross multiply
    8,569.13x = 12,944.81 × 12,944.81
  4. Step 4: Simplify right side
    8,569.13x = 167,568,170.66
  5. Step 5: Solve for x
    x = 167,568,170.66/8,569.13
  6. Step 6: Final answer
    x = 19,554.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.