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Finding the Third Proportional to 12,862 and 14,698

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Solution

The third proportional to 12,862 and 14,698 is: 16,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862 : 14,698 = 14,698 : x
  2. Step 2: Convert to fraction form
    12,862/14,698 = 14,698/x
  3. Step 3: Cross multiply
    12,862x = 14,698 × 14,698
  4. Step 4: Simplify right side
    12,862x = 216,031,204
  5. Step 5: Solve for x
    x = 216,031,204/12,862
  6. Step 6: Final answer
    x = 16,796.08

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.