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Finding the Third Proportional to 10,674 and 23,193.75

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Solution

The third proportional to 10,674 and 23,193.75 is: 50,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674 : 23,193.75 = 23,193.75 : x
  2. Step 2: Convert to fraction form
    10,674/23,193.75 = 23,193.75/x
  3. Step 3: Cross multiply
    10,674x = 23,193.75 × 23,193.75
  4. Step 4: Simplify right side
    10,674x = 537,950,039.06
  5. Step 5: Solve for x
    x = 537,950,039.06/10,674
  6. Step 6: Final answer
    x = 50,398.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.