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Finding the Third Proportional to 12,524 and 16,706

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Solution

The third proportional to 12,524 and 16,706 is: 22,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524 : 16,706 = 16,706 : x
  2. Step 2: Convert to fraction form
    12,524/16,706 = 16,706/x
  3. Step 3: Cross multiply
    12,524x = 16,706 × 16,706
  4. Step 4: Simplify right side
    12,524x = 279,090,436
  5. Step 5: Solve for x
    x = 279,090,436/12,524
  6. Step 6: Final answer
    x = 22,284.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.