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Finding the Third Proportional to 7,786.13 and 17,425.13

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Solution

The third proportional to 7,786.13 and 17,425.13 is: 38,996.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 17,425.13 = 17,425.13 : x
  2. Step 2: Convert to fraction form
    7,786.13/17,425.13 = 17,425.13/x
  3. Step 3: Cross multiply
    7,786.13x = 17,425.13 × 17,425.13
  4. Step 4: Simplify right side
    7,786.13x = 303,634,981.27
  5. Step 5: Solve for x
    x = 303,634,981.27/7,786.13
  6. Step 6: Final answer
    x = 38,996.93

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.