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Finding the Third Proportional to 2,775.19 and 5,862.28

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Solution

The third proportional to 2,775.19 and 5,862.28 is: 12,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.19 : 5,862.28 = 5,862.28 : x
  2. Step 2: Convert to fraction form
    2,775.19/5,862.28 = 5,862.28/x
  3. Step 3: Cross multiply
    2,775.19x = 5,862.28 × 5,862.28
  4. Step 4: Simplify right side
    2,775.19x = 34,366,341.45
  5. Step 5: Solve for x
    x = 34,366,341.45/2,775.19
  6. Step 6: Final answer
    x = 12,383.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.