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Finding the Third Proportional to 14,986 and 22,671

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Solution

The third proportional to 14,986 and 22,671 is: 34,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,986 : 22,671 = 22,671 : x
  2. Step 2: Convert to fraction form
    14,986/22,671 = 22,671/x
  3. Step 3: Cross multiply
    14,986x = 22,671 × 22,671
  4. Step 4: Simplify right side
    14,986x = 513,974,241
  5. Step 5: Solve for x
    x = 513,974,241/14,986
  6. Step 6: Final answer
    x = 34,296.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.