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Finding the Third Proportional to 427.38 and 1,106.13

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Solution

The third proportional to 427.38 and 1,106.13 is: 2,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.38 : 1,106.13 = 1,106.13 : x
  2. Step 2: Convert to fraction form
    427.38/1,106.13 = 1,106.13/x
  3. Step 3: Cross multiply
    427.38x = 1,106.13 × 1,106.13
  4. Step 4: Simplify right side
    427.38x = 1,223,512.52
  5. Step 5: Solve for x
    x = 1,223,512.52/427.38
  6. Step 6: Final answer
    x = 2,862.85

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.