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Finding the Third Proportional to 4,252.26 and 9,011.76

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Solution

The third proportional to 4,252.26 and 9,011.76 is: 19,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.26 : 9,011.76 = 9,011.76 : x
  2. Step 2: Convert to fraction form
    4,252.26/9,011.76 = 9,011.76/x
  3. Step 3: Cross multiply
    4,252.26x = 9,011.76 × 9,011.76
  4. Step 4: Simplify right side
    4,252.26x = 81,211,893.28
  5. Step 5: Solve for x
    x = 81,211,893.28/4,252.26
  6. Step 6: Final answer
    x = 19,098.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.