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Finding the Third Proportional to 17,814 and 38,483

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Solution

The third proportional to 17,814 and 38,483 is: 83,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814 : 38,483 = 38,483 : x
  2. Step 2: Convert to fraction form
    17,814/38,483 = 38,483/x
  3. Step 3: Cross multiply
    17,814x = 38,483 × 38,483
  4. Step 4: Simplify right side
    17,814x = 1,480,941,289
  5. Step 5: Solve for x
    x = 1,480,941,289/17,814
  6. Step 6: Final answer
    x = 83,133.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.