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Finding the Third Proportional to 17,713.69 and 27,041.34

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Solution

The third proportional to 17,713.69 and 27,041.34 is: 41,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.69 : 27,041.34 = 27,041.34 : x
  2. Step 2: Convert to fraction form
    17,713.69/27,041.34 = 27,041.34/x
  3. Step 3: Cross multiply
    17,713.69x = 27,041.34 × 27,041.34
  4. Step 4: Simplify right side
    17,713.69x = 731,234,271.81
  5. Step 5: Solve for x
    x = 731,234,271.81/17,713.69
  6. Step 6: Final answer
    x = 41,280.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.