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Finding the Third Proportional to 1,314 and 3,169

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Solution

The third proportional to 1,314 and 3,169 is: 7,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314 : 3,169 = 3,169 : x
  2. Step 2: Convert to fraction form
    1,314/3,169 = 3,169/x
  3. Step 3: Cross multiply
    1,314x = 3,169 × 3,169
  4. Step 4: Simplify right side
    1,314x = 10,042,561
  5. Step 5: Solve for x
    x = 10,042,561/1,314
  6. Step 6: Final answer
    x = 7,642.74

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.