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Finding the Third Proportional to 47,017 and 97,922

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Solution

The third proportional to 47,017 and 97,922 is: 203,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,017 : 97,922 = 97,922 : x
  2. Step 2: Convert to fraction form
    47,017/97,922 = 97,922/x
  3. Step 3: Cross multiply
    47,017x = 97,922 × 97,922
  4. Step 4: Simplify right side
    47,017x = 9,588,718,084
  5. Step 5: Solve for x
    x = 9,588,718,084/47,017
  6. Step 6: Final answer
    x = 203,941.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.