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Finding the Third Proportional to 6,232 and 6,760

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Solution

The third proportional to 6,232 and 6,760 is: 7,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232 : 6,760 = 6,760 : x
  2. Step 2: Convert to fraction form
    6,232/6,760 = 6,760/x
  3. Step 3: Cross multiply
    6,232x = 6,760 × 6,760
  4. Step 4: Simplify right side
    6,232x = 45,697,600
  5. Step 5: Solve for x
    x = 45,697,600/6,232
  6. Step 6: Final answer
    x = 7,332.73

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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.