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Finding the Third Proportional to 8,565.75 and 12,894.19

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Solution

The third proportional to 8,565.75 and 12,894.19 is: 19,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 12,894.19 = 12,894.19 : x
  2. Step 2: Convert to fraction form
    8,565.75/12,894.19 = 12,894.19/x
  3. Step 3: Cross multiply
    8,565.75x = 12,894.19 × 12,894.19
  4. Step 4: Simplify right side
    8,565.75x = 166,260,071.29
  5. Step 5: Solve for x
    x = 166,260,071.29/8,565.75
  6. Step 6: Final answer
    x = 19,409.87

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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.