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Finding the Third Proportional to 2,859.56 and 4,425.56

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Solution

The third proportional to 2,859.56 and 4,425.56 is: 6,849.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.56 : 4,425.56 = 4,425.56 : x
  2. Step 2: Convert to fraction form
    2,859.56/4,425.56 = 4,425.56/x
  3. Step 3: Cross multiply
    2,859.56x = 4,425.56 × 4,425.56
  4. Step 4: Simplify right side
    2,859.56x = 19,585,603.44
  5. Step 5: Solve for x
    x = 19,585,603.44/2,859.56
  6. Step 6: Final answer
    x = 6,849.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.