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Finding the Third Proportional to 5,436.75 and 7,932.75

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Solution

The third proportional to 5,436.75 and 7,932.75 is: 11,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.75 : 7,932.75 = 7,932.75 : x
  2. Step 2: Convert to fraction form
    5,436.75/7,932.75 = 7,932.75/x
  3. Step 3: Cross multiply
    5,436.75x = 7,932.75 × 7,932.75
  4. Step 4: Simplify right side
    5,436.75x = 62,928,522.56
  5. Step 5: Solve for x
    x = 62,928,522.56/5,436.75
  6. Step 6: Final answer
    x = 11,574.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.