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Finding the Third Proportional to 8,706.75 and 13,081.13

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Solution

The third proportional to 8,706.75 and 13,081.13 is: 19,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.75 : 13,081.13 = 13,081.13 : x
  2. Step 2: Convert to fraction form
    8,706.75/13,081.13 = 13,081.13/x
  3. Step 3: Cross multiply
    8,706.75x = 13,081.13 × 13,081.13
  4. Step 4: Simplify right side
    8,706.75x = 171,115,831.27
  5. Step 5: Solve for x
    x = 171,115,831.27/8,706.75
  6. Step 6: Final answer
    x = 19,653.24

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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.