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Finding the Third Proportional to 8,677.13 and 12,894.19

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Solution

The third proportional to 8,677.13 and 12,894.19 is: 19,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.13 : 12,894.19 = 12,894.19 : x
  2. Step 2: Convert to fraction form
    8,677.13/12,894.19 = 12,894.19/x
  3. Step 3: Cross multiply
    8,677.13x = 12,894.19 × 12,894.19
  4. Step 4: Simplify right side
    8,677.13x = 166,260,071.29
  5. Step 5: Solve for x
    x = 166,260,071.29/8,677.13
  6. Step 6: Final answer
    x = 19,160.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.