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Finding the Third Proportional to 865.69 and 2,052.84

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Solution

The third proportional to 865.69 and 2,052.84 is: 4,868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 2,052.84 = 2,052.84 : x
  2. Step 2: Convert to fraction form
    865.69/2,052.84 = 2,052.84/x
  3. Step 3: Cross multiply
    865.69x = 2,052.84 × 2,052.84
  4. Step 4: Simplify right side
    865.69x = 4,214,167.46
  5. Step 5: Solve for x
    x = 4,214,167.46/865.69
  6. Step 6: Final answer
    x = 4,868.00

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.