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Finding the Third Proportional to 7,783.61 and 16,121.03

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Solution

The third proportional to 7,783.61 and 16,121.03 is: 33,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.61 : 16,121.03 = 16,121.03 : x
  2. Step 2: Convert to fraction form
    7,783.61/16,121.03 = 16,121.03/x
  3. Step 3: Cross multiply
    7,783.61x = 16,121.03 × 16,121.03
  4. Step 4: Simplify right side
    7,783.61x = 259,887,648.56
  5. Step 5: Solve for x
    x = 259,887,648.56/7,783.61
  6. Step 6: Final answer
    x = 33,389.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.