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Finding the Third Proportional to 1,014.05 and 2,248.24

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Solution

The third proportional to 1,014.05 and 2,248.24 is: 4,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.05 : 2,248.24 = 2,248.24 : x
  2. Step 2: Convert to fraction form
    1,014.05/2,248.24 = 2,248.24/x
  3. Step 3: Cross multiply
    1,014.05x = 2,248.24 × 2,248.24
  4. Step 4: Simplify right side
    1,014.05x = 5,054,592.93
  5. Step 5: Solve for x
    x = 5,054,592.93/1,014.05
  6. Step 6: Final answer
    x = 4,984.58

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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.