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Finding the Third Proportional to 12,656 and 18,914

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Solution

The third proportional to 12,656 and 18,914 is: 28,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656 : 18,914 = 18,914 : x
  2. Step 2: Convert to fraction form
    12,656/18,914 = 18,914/x
  3. Step 3: Cross multiply
    12,656x = 18,914 × 18,914
  4. Step 4: Simplify right side
    12,656x = 357,739,396
  5. Step 5: Solve for x
    x = 357,739,396/12,656
  6. Step 6: Final answer
    x = 28,266.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.