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Finding the Third Proportional to 7,882.88 and 16,496.44

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Solution

The third proportional to 7,882.88 and 16,496.44 is: 34,521.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.88 : 16,496.44 = 16,496.44 : x
  2. Step 2: Convert to fraction form
    7,882.88/16,496.44 = 16,496.44/x
  3. Step 3: Cross multiply
    7,882.88x = 16,496.44 × 16,496.44
  4. Step 4: Simplify right side
    7,882.88x = 272,132,450.19
  5. Step 5: Solve for x
    x = 272,132,450.19/7,882.88
  6. Step 6: Final answer
    x = 34,521.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.