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Finding the Third Proportional to 2,698 and 6,487

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Solution

The third proportional to 2,698 and 6,487 is: 15,597.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698 : 6,487 = 6,487 : x
  2. Step 2: Convert to fraction form
    2,698/6,487 = 6,487/x
  3. Step 3: Cross multiply
    2,698x = 6,487 × 6,487
  4. Step 4: Simplify right side
    2,698x = 42,081,169
  5. Step 5: Solve for x
    x = 42,081,169/2,698
  6. Step 6: Final answer
    x = 15,597.17

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.