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Finding the Third Proportional to 6,040 and 7,932

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Solution

The third proportional to 6,040 and 7,932 is: 10,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,040 : 7,932 = 7,932 : x
  2. Step 2: Convert to fraction form
    6,040/7,932 = 7,932/x
  3. Step 3: Cross multiply
    6,040x = 7,932 × 7,932
  4. Step 4: Simplify right side
    6,040x = 62,916,624
  5. Step 5: Solve for x
    x = 62,916,624/6,040
  6. Step 6: Final answer
    x = 10,416.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.