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Finding the Third Proportional to 807.19 and 1,844.72

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Solution

The third proportional to 807.19 and 1,844.72 is: 4,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.19 : 1,844.72 = 1,844.72 : x
  2. Step 2: Convert to fraction form
    807.19/1,844.72 = 1,844.72/x
  3. Step 3: Cross multiply
    807.19x = 1,844.72 × 1,844.72
  4. Step 4: Simplify right side
    807.19x = 3,402,987.27
  5. Step 5: Solve for x
    x = 3,402,987.27/807.19
  6. Step 6: Final answer
    x = 4,215.86

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.