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Finding the Third Proportional to 5,969 and 9,294

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Solution

The third proportional to 5,969 and 9,294 is: 14,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969 : 9,294 = 9,294 : x
  2. Step 2: Convert to fraction form
    5,969/9,294 = 9,294/x
  3. Step 3: Cross multiply
    5,969x = 9,294 × 9,294
  4. Step 4: Simplify right side
    5,969x = 86,378,436
  5. Step 5: Solve for x
    x = 86,378,436/5,969
  6. Step 6: Final answer
    x = 14,471.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.