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Finding the Third Proportional to 1,001.74 and 2,191.43

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Solution

The third proportional to 1,001.74 and 2,191.43 is: 4,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.74 : 2,191.43 = 2,191.43 : x
  2. Step 2: Convert to fraction form
    1,001.74/2,191.43 = 2,191.43/x
  3. Step 3: Cross multiply
    1,001.74x = 2,191.43 × 2,191.43
  4. Step 4: Simplify right side
    1,001.74x = 4,802,364.08
  5. Step 5: Solve for x
    x = 4,802,364.08/1,001.74
  6. Step 6: Final answer
    x = 4,794.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.