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Finding the Third Proportional to 858.38 and 1,864.38

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Solution

The third proportional to 858.38 and 1,864.38 is: 4,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.38 : 1,864.38 = 1,864.38 : x
  2. Step 2: Convert to fraction form
    858.38/1,864.38 = 1,864.38/x
  3. Step 3: Cross multiply
    858.38x = 1,864.38 × 1,864.38
  4. Step 4: Simplify right side
    858.38x = 3,475,894.14
  5. Step 5: Solve for x
    x = 3,475,894.14/858.38
  6. Step 6: Final answer
    x = 4,049.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.