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Finding the Third Proportional to 1,698 and 2,499

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Solution

The third proportional to 1,698 and 2,499 is: 3,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698 : 2,499 = 2,499 : x
  2. Step 2: Convert to fraction form
    1,698/2,499 = 2,499/x
  3. Step 3: Cross multiply
    1,698x = 2,499 × 2,499
  4. Step 4: Simplify right side
    1,698x = 6,245,001
  5. Step 5: Solve for x
    x = 6,245,001/1,698
  6. Step 6: Final answer
    x = 3,677.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.