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Finding the Third Proportional to 8,497.13 and 12,786.19

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Solution

The third proportional to 8,497.13 and 12,786.19 is: 19,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.13 : 12,786.19 = 12,786.19 : x
  2. Step 2: Convert to fraction form
    8,497.13/12,786.19 = 12,786.19/x
  3. Step 3: Cross multiply
    8,497.13x = 12,786.19 × 12,786.19
  4. Step 4: Simplify right side
    8,497.13x = 163,486,590.79
  5. Step 5: Solve for x
    x = 163,486,590.79/8,497.13
  6. Step 6: Final answer
    x = 19,240.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.