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Finding the Third Proportional to 2,470 and 2,677

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Solution

The third proportional to 2,470 and 2,677 is: 2,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470 : 2,677 = 2,677 : x
  2. Step 2: Convert to fraction form
    2,470/2,677 = 2,677/x
  3. Step 3: Cross multiply
    2,470x = 2,677 × 2,677
  4. Step 4: Simplify right side
    2,470x = 7,166,329
  5. Step 5: Solve for x
    x = 7,166,329/2,470
  6. Step 6: Final answer
    x = 2,901.35

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.