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Finding the Third Proportional to 834.75 and 1,816.88

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Solution

The third proportional to 834.75 and 1,816.88 is: 3,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.75 : 1,816.88 = 1,816.88 : x
  2. Step 2: Convert to fraction form
    834.75/1,816.88 = 1,816.88/x
  3. Step 3: Cross multiply
    834.75x = 1,816.88 × 1,816.88
  4. Step 4: Simplify right side
    834.75x = 3,301,034.77
  5. Step 5: Solve for x
    x = 3,301,034.77/834.75
  6. Step 6: Final answer
    x = 3,954.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.