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Finding the Third Proportional to 6,416 and 6,920

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Solution

The third proportional to 6,416 and 6,920 is: 7,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 6,920 = 6,920 : x
  2. Step 2: Convert to fraction form
    6,416/6,920 = 6,920/x
  3. Step 3: Cross multiply
    6,416x = 6,920 × 6,920
  4. Step 4: Simplify right side
    6,416x = 47,886,400
  5. Step 5: Solve for x
    x = 47,886,400/6,416
  6. Step 6: Final answer
    x = 7,463.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.