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Finding the Third Proportional to 2,864.25 and 4,431.38

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Solution

The third proportional to 2,864.25 and 4,431.38 is: 6,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.25 : 4,431.38 = 4,431.38 : x
  2. Step 2: Convert to fraction form
    2,864.25/4,431.38 = 4,431.38/x
  3. Step 3: Cross multiply
    2,864.25x = 4,431.38 × 4,431.38
  4. Step 4: Simplify right side
    2,864.25x = 19,637,084.39
  5. Step 5: Solve for x
    x = 19,637,084.39/2,864.25
  6. Step 6: Final answer
    x = 6,855.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.