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Finding the Third Proportional to 914.73 and 2,034.18

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Solution

The third proportional to 914.73 and 2,034.18 is: 4,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.73 : 2,034.18 = 2,034.18 : x
  2. Step 2: Convert to fraction form
    914.73/2,034.18 = 2,034.18/x
  3. Step 3: Cross multiply
    914.73x = 2,034.18 × 2,034.18
  4. Step 4: Simplify right side
    914.73x = 4,137,871.11
  5. Step 5: Solve for x
    x = 4,137,871.11/914.73
  6. Step 6: Final answer
    x = 4,523.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.