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Finding the Third Proportional to 3,511.16 and 5,256.77

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Solution

The third proportional to 3,511.16 and 5,256.77 is: 7,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.16 : 5,256.77 = 5,256.77 : x
  2. Step 2: Convert to fraction form
    3,511.16/5,256.77 = 5,256.77/x
  3. Step 3: Cross multiply
    3,511.16x = 5,256.77 × 5,256.77
  4. Step 4: Simplify right side
    3,511.16x = 27,633,666.97
  5. Step 5: Solve for x
    x = 27,633,666.97/3,511.16
  6. Step 6: Final answer
    x = 7,870.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.