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Finding the Third Proportional to 8,706 and 13,923

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Solution

The third proportional to 8,706 and 13,923 is: 22,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706 : 13,923 = 13,923 : x
  2. Step 2: Convert to fraction form
    8,706/13,923 = 13,923/x
  3. Step 3: Cross multiply
    8,706x = 13,923 × 13,923
  4. Step 4: Simplify right side
    8,706x = 193,849,929
  5. Step 5: Solve for x
    x = 193,849,929/8,706
  6. Step 6: Final answer
    x = 22,266.25

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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.