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Finding the Third Proportional to 7,797 and 16,053.75

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Solution

The third proportional to 7,797 and 16,053.75 is: 33,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797 : 16,053.75 = 16,053.75 : x
  2. Step 2: Convert to fraction form
    7,797/16,053.75 = 16,053.75/x
  3. Step 3: Cross multiply
    7,797x = 16,053.75 × 16,053.75
  4. Step 4: Simplify right side
    7,797x = 257,722,889.06
  5. Step 5: Solve for x
    x = 257,722,889.06/7,797
  6. Step 6: Final answer
    x = 33,054.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.