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Finding the Third Proportional to 1,064.02 and 2,291.78

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Solution

The third proportional to 1,064.02 and 2,291.78 is: 4,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.02 : 2,291.78 = 2,291.78 : x
  2. Step 2: Convert to fraction form
    1,064.02/2,291.78 = 2,291.78/x
  3. Step 3: Cross multiply
    1,064.02x = 2,291.78 × 2,291.78
  4. Step 4: Simplify right side
    1,064.02x = 5,252,270.25
  5. Step 5: Solve for x
    x = 5,252,270.25/1,064.02
  6. Step 6: Final answer
    x = 4,936.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.