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Finding the Third Proportional to 1,035.05 and 2,218.08

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Solution

The third proportional to 1,035.05 and 2,218.08 is: 4,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.05 : 2,218.08 = 2,218.08 : x
  2. Step 2: Convert to fraction form
    1,035.05/2,218.08 = 2,218.08/x
  3. Step 3: Cross multiply
    1,035.05x = 2,218.08 × 2,218.08
  4. Step 4: Simplify right side
    1,035.05x = 4,919,870.57
  5. Step 5: Solve for x
    x = 4,919,870.57/1,035.05
  6. Step 6: Final answer
    x = 4,753.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.