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Finding the Third Proportional to 7,922.53 and 11,511.56

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Solution

The third proportional to 7,922.53 and 11,511.56 is: 16,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.53 : 11,511.56 = 11,511.56 : x
  2. Step 2: Convert to fraction form
    7,922.53/11,511.56 = 11,511.56/x
  3. Step 3: Cross multiply
    7,922.53x = 11,511.56 × 11,511.56
  4. Step 4: Simplify right side
    7,922.53x = 132,516,071.19
  5. Step 5: Solve for x
    x = 132,516,071.19/7,922.53
  6. Step 6: Final answer
    x = 16,726.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.