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Finding the Third Proportional to 934.45 and 2,034.07

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Solution

The third proportional to 934.45 and 2,034.07 is: 4,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.45 : 2,034.07 = 2,034.07 : x
  2. Step 2: Convert to fraction form
    934.45/2,034.07 = 2,034.07/x
  3. Step 3: Cross multiply
    934.45x = 2,034.07 × 2,034.07
  4. Step 4: Simplify right side
    934.45x = 4,137,442.04
  5. Step 5: Solve for x
    x = 4,137,442.04/934.45
  6. Step 6: Final answer
    x = 4,427.66

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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.