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Finding the Third Proportional to 8,706 and 18,931

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Solution

The third proportional to 8,706 and 18,931 is: 41,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706 : 18,931 = 18,931 : x
  2. Step 2: Convert to fraction form
    8,706/18,931 = 18,931/x
  3. Step 3: Cross multiply
    8,706x = 18,931 × 18,931
  4. Step 4: Simplify right side
    8,706x = 358,382,761
  5. Step 5: Solve for x
    x = 358,382,761/8,706
  6. Step 6: Final answer
    x = 41,165.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.