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Finding the Third Proportional to 6,416 and 11,320

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Solution

The third proportional to 6,416 and 11,320 is: 19,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 11,320 = 11,320 : x
  2. Step 2: Convert to fraction form
    6,416/11,320 = 11,320/x
  3. Step 3: Cross multiply
    6,416x = 11,320 × 11,320
  4. Step 4: Simplify right side
    6,416x = 128,142,400
  5. Step 5: Solve for x
    x = 128,142,400/6,416
  6. Step 6: Final answer
    x = 19,972.32

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.