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Finding the Third Proportional to 2,677 and 4,970

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Solution

The third proportional to 2,677 and 4,970 is: 9,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677 : 4,970 = 4,970 : x
  2. Step 2: Convert to fraction form
    2,677/4,970 = 4,970/x
  3. Step 3: Cross multiply
    2,677x = 4,970 × 4,970
  4. Step 4: Simplify right side
    2,677x = 24,700,900
  5. Step 5: Solve for x
    x = 24,700,900/2,677
  6. Step 6: Final answer
    x = 9,227.08

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.