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Finding the Third Proportional to 8,041.07 and 17,299.51

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Solution

The third proportional to 8,041.07 and 17,299.51 is: 37,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.07 : 17,299.51 = 17,299.51 : x
  2. Step 2: Convert to fraction form
    8,041.07/17,299.51 = 17,299.51/x
  3. Step 3: Cross multiply
    8,041.07x = 17,299.51 × 17,299.51
  4. Step 4: Simplify right side
    8,041.07x = 299,273,105.71
  5. Step 5: Solve for x
    x = 299,273,105.71/8,041.07
  6. Step 6: Final answer
    x = 37,218.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.