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Finding the Third Proportional to 11,742 and 19,341

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Solution

The third proportional to 11,742 and 19,341 is: 31,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742 : 19,341 = 19,341 : x
  2. Step 2: Convert to fraction form
    11,742/19,341 = 19,341/x
  3. Step 3: Cross multiply
    11,742x = 19,341 × 19,341
  4. Step 4: Simplify right side
    11,742x = 374,074,281
  5. Step 5: Solve for x
    x = 374,074,281/11,742
  6. Step 6: Final answer
    x = 31,857.80

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.