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Finding the Third Proportional to 6,416 and 6,864

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Solution

The third proportional to 6,416 and 6,864 is: 7,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 6,864 = 6,864 : x
  2. Step 2: Convert to fraction form
    6,416/6,864 = 6,864/x
  3. Step 3: Cross multiply
    6,416x = 6,864 × 6,864
  4. Step 4: Simplify right side
    6,416x = 47,114,496
  5. Step 5: Solve for x
    x = 47,114,496/6,416
  6. Step 6: Final answer
    x = 7,343.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.