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Finding the Third Proportional to 926.81 and 2,001.56

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Solution

The third proportional to 926.81 and 2,001.56 is: 4,322.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.81 : 2,001.56 = 2,001.56 : x
  2. Step 2: Convert to fraction form
    926.81/2,001.56 = 2,001.56/x
  3. Step 3: Cross multiply
    926.81x = 2,001.56 × 2,001.56
  4. Step 4: Simplify right side
    926.81x = 4,006,252.44
  5. Step 5: Solve for x
    x = 4,006,252.44/926.81
  6. Step 6: Final answer
    x = 4,322.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.