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Finding the Third Proportional to 934.03 and 2,047.46

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Solution

The third proportional to 934.03 and 2,047.46 is: 4,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.03 : 2,047.46 = 2,047.46 : x
  2. Step 2: Convert to fraction form
    934.03/2,047.46 = 2,047.46/x
  3. Step 3: Cross multiply
    934.03x = 2,047.46 × 2,047.46
  4. Step 4: Simplify right side
    934.03x = 4,192,112.29
  5. Step 5: Solve for x
    x = 4,192,112.29/934.03
  6. Step 6: Final answer
    x = 4,488.19

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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.