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Finding the Third Proportional to 1,062.18 and 2,277.41

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Solution

The third proportional to 1,062.18 and 2,277.41 is: 4,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.18 : 2,277.41 = 2,277.41 : x
  2. Step 2: Convert to fraction form
    1,062.18/2,277.41 = 2,277.41/x
  3. Step 3: Cross multiply
    1,062.18x = 2,277.41 × 2,277.41
  4. Step 4: Simplify right side
    1,062.18x = 5,186,610.36
  5. Step 5: Solve for x
    x = 5,186,610.36/1,062.18
  6. Step 6: Final answer
    x = 4,883.01

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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.