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Finding the Third Proportional to 8,786 and 14,091

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Solution

The third proportional to 8,786 and 14,091 is: 22,599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786 : 14,091 = 14,091 : x
  2. Step 2: Convert to fraction form
    8,786/14,091 = 14,091/x
  3. Step 3: Cross multiply
    8,786x = 14,091 × 14,091
  4. Step 4: Simplify right side
    8,786x = 198,556,281
  5. Step 5: Solve for x
    x = 198,556,281/8,786
  6. Step 6: Final answer
    x = 22,599.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.