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Finding the Third Proportional to 4,865 and 6,169

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Solution

The third proportional to 4,865 and 6,169 is: 7,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865 : 6,169 = 6,169 : x
  2. Step 2: Convert to fraction form
    4,865/6,169 = 6,169/x
  3. Step 3: Cross multiply
    4,865x = 6,169 × 6,169
  4. Step 4: Simplify right side
    4,865x = 38,056,561
  5. Step 5: Solve for x
    x = 38,056,561/4,865
  6. Step 6: Final answer
    x = 7,822.52

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.