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Finding the Third Proportional to 4,178.53 and 6,448.92

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Solution

The third proportional to 4,178.53 and 6,448.92 is: 9,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.53 : 6,448.92 = 6,448.92 : x
  2. Step 2: Convert to fraction form
    4,178.53/6,448.92 = 6,448.92/x
  3. Step 3: Cross multiply
    4,178.53x = 6,448.92 × 6,448.92
  4. Step 4: Simplify right side
    4,178.53x = 41,588,593.35
  5. Step 5: Solve for x
    x = 41,588,593.35/4,178.53
  6. Step 6: Final answer
    x = 9,952.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.