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Finding the Third Proportional to 6,484 and 7,294

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Solution

The third proportional to 6,484 and 7,294 is: 8,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484 : 7,294 = 7,294 : x
  2. Step 2: Convert to fraction form
    6,484/7,294 = 7,294/x
  3. Step 3: Cross multiply
    6,484x = 7,294 × 7,294
  4. Step 4: Simplify right side
    6,484x = 53,202,436
  5. Step 5: Solve for x
    x = 53,202,436/6,484
  6. Step 6: Final answer
    x = 8,205.19

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.