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Finding the Third Proportional to 6,416 and 11,344

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Solution

The third proportional to 6,416 and 11,344 is: 20,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 11,344 = 11,344 : x
  2. Step 2: Convert to fraction form
    6,416/11,344 = 11,344/x
  3. Step 3: Cross multiply
    6,416x = 11,344 × 11,344
  4. Step 4: Simplify right side
    6,416x = 128,686,336
  5. Step 5: Solve for x
    x = 128,686,336/6,416
  6. Step 6: Final answer
    x = 20,057.10

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.