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Finding the Third Proportional to 1,302 and 2,397

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Solution

The third proportional to 1,302 and 2,397 is: 4,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302 : 2,397 = 2,397 : x
  2. Step 2: Convert to fraction form
    1,302/2,397 = 2,397/x
  3. Step 3: Cross multiply
    1,302x = 2,397 × 2,397
  4. Step 4: Simplify right side
    1,302x = 5,745,609
  5. Step 5: Solve for x
    x = 5,745,609/1,302
  6. Step 6: Final answer
    x = 4,412.91

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.