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Finding the Third Proportional to 6,174 and 9,432

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Solution

The third proportional to 6,174 and 9,432 is: 14,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 9,432 = 9,432 : x
  2. Step 2: Convert to fraction form
    6,174/9,432 = 9,432/x
  3. Step 3: Cross multiply
    6,174x = 9,432 × 9,432
  4. Step 4: Simplify right side
    6,174x = 88,962,624
  5. Step 5: Solve for x
    x = 88,962,624/6,174
  6. Step 6: Final answer
    x = 14,409.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.