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Finding the Third Proportional to 1,685 and 2,587

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Solution

The third proportional to 1,685 and 2,587 is: 3,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685 : 2,587 = 2,587 : x
  2. Step 2: Convert to fraction form
    1,685/2,587 = 2,587/x
  3. Step 3: Cross multiply
    1,685x = 2,587 × 2,587
  4. Step 4: Simplify right side
    1,685x = 6,692,569
  5. Step 5: Solve for x
    x = 6,692,569/1,685
  6. Step 6: Final answer
    x = 3,971.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.