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Finding the Third Proportional to 4,124.12 and 5,603.12

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Solution

The third proportional to 4,124.12 and 5,603.12 is: 7,612.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.12 : 5,603.12 = 5,603.12 : x
  2. Step 2: Convert to fraction form
    4,124.12/5,603.12 = 5,603.12/x
  3. Step 3: Cross multiply
    4,124.12x = 5,603.12 × 5,603.12
  4. Step 4: Simplify right side
    4,124.12x = 31,394,949.58
  5. Step 5: Solve for x
    x = 31,394,949.58/4,124.12
  6. Step 6: Final answer
    x = 7,612.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.