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Finding the Third Proportional to 2,464.17 and 3,924.07

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Solution

The third proportional to 2,464.17 and 3,924.07 is: 6,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.17 : 3,924.07 = 3,924.07 : x
  2. Step 2: Convert to fraction form
    2,464.17/3,924.07 = 3,924.07/x
  3. Step 3: Cross multiply
    2,464.17x = 3,924.07 × 3,924.07
  4. Step 4: Simplify right side
    2,464.17x = 15,398,327.82
  5. Step 5: Solve for x
    x = 15,398,327.82/2,464.17
  6. Step 6: Final answer
    x = 6,248.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.