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Finding the Third Proportional to 6,384 and 7,440

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Solution

The third proportional to 6,384 and 7,440 is: 8,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384 : 7,440 = 7,440 : x
  2. Step 2: Convert to fraction form
    6,384/7,440 = 7,440/x
  3. Step 3: Cross multiply
    6,384x = 7,440 × 7,440
  4. Step 4: Simplify right side
    6,384x = 55,353,600
  5. Step 5: Solve for x
    x = 55,353,600/6,384
  6. Step 6: Final answer
    x = 8,670.68

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.