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Finding the Third Proportional to 841.13 and 2,035.31

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Solution

The third proportional to 841.13 and 2,035.31 is: 4,924.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.13 : 2,035.31 = 2,035.31 : x
  2. Step 2: Convert to fraction form
    841.13/2,035.31 = 2,035.31/x
  3. Step 3: Cross multiply
    841.13x = 2,035.31 × 2,035.31
  4. Step 4: Simplify right side
    841.13x = 4,142,496.97
  5. Step 5: Solve for x
    x = 4,142,496.97/841.13
  6. Step 6: Final answer
    x = 4,924.95

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.