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Finding the Third Proportional to 3,965.63 and 5,934.94

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Solution

The third proportional to 3,965.63 and 5,934.94 is: 8,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.63 : 5,934.94 = 5,934.94 : x
  2. Step 2: Convert to fraction form
    3,965.63/5,934.94 = 5,934.94/x
  3. Step 3: Cross multiply
    3,965.63x = 5,934.94 × 5,934.94
  4. Step 4: Simplify right side
    3,965.63x = 35,223,483.13
  5. Step 5: Solve for x
    x = 35,223,483.13/3,965.63
  6. Step 6: Final answer
    x = 8,882.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.