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Finding the Third Proportional to 847.97 and 1,574.86

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Solution

The third proportional to 847.97 and 1,574.86 is: 2,924.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.97 : 1,574.86 = 1,574.86 : x
  2. Step 2: Convert to fraction form
    847.97/1,574.86 = 1,574.86/x
  3. Step 3: Cross multiply
    847.97x = 1,574.86 × 1,574.86
  4. Step 4: Simplify right side
    847.97x = 2,480,182.05
  5. Step 5: Solve for x
    x = 2,480,182.05/847.97
  6. Step 6: Final answer
    x = 2,924.85

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.