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Finding the Third Proportional to 7,560.84 and 16,086.09

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Solution

The third proportional to 7,560.84 and 16,086.09 is: 34,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.84 : 16,086.09 = 16,086.09 : x
  2. Step 2: Convert to fraction form
    7,560.84/16,086.09 = 16,086.09/x
  3. Step 3: Cross multiply
    7,560.84x = 16,086.09 × 16,086.09
  4. Step 4: Simplify right side
    7,560.84x = 258,762,412.13
  5. Step 5: Solve for x
    x = 258,762,412.13/7,560.84
  6. Step 6: Final answer
    x = 34,224.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.