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Finding the Third Proportional to 10,131.75 and 19,473.75

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Solution

The third proportional to 10,131.75 and 19,473.75 is: 37,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.75 : 19,473.75 = 19,473.75 : x
  2. Step 2: Convert to fraction form
    10,131.75/19,473.75 = 19,473.75/x
  3. Step 3: Cross multiply
    10,131.75x = 19,473.75 × 19,473.75
  4. Step 4: Simplify right side
    10,131.75x = 379,226,939.06
  5. Step 5: Solve for x
    x = 379,226,939.06/10,131.75
  6. Step 6: Final answer
    x = 37,429.56

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.