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Finding the Third Proportional to 4,065.19 and 7,932.94

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Solution

The third proportional to 4,065.19 and 7,932.94 is: 15,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.19 : 7,932.94 = 7,932.94 : x
  2. Step 2: Convert to fraction form
    4,065.19/7,932.94 = 7,932.94/x
  3. Step 3: Cross multiply
    4,065.19x = 7,932.94 × 7,932.94
  4. Step 4: Simplify right side
    4,065.19x = 62,931,497.38
  5. Step 5: Solve for x
    x = 62,931,497.38/4,065.19
  6. Step 6: Final answer
    x = 15,480.59

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.