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Finding the Third Proportional to 7,521.19 and 16,297.88

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Solution

The third proportional to 7,521.19 and 16,297.88 is: 35,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,521.19 : 16,297.88 = 16,297.88 : x
  2. Step 2: Convert to fraction form
    7,521.19/16,297.88 = 16,297.88/x
  3. Step 3: Cross multiply
    7,521.19x = 16,297.88 × 16,297.88
  4. Step 4: Simplify right side
    7,521.19x = 265,620,729.52
  5. Step 5: Solve for x
    x = 265,620,729.52/7,521.19
  6. Step 6: Final answer
    x = 35,316.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.