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Finding the Third Proportional to 22,007 and 42,911

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Solution

The third proportional to 22,007 and 42,911 is: 83,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,007 : 42,911 = 42,911 : x
  2. Step 2: Convert to fraction form
    22,007/42,911 = 42,911/x
  3. Step 3: Cross multiply
    22,007x = 42,911 × 42,911
  4. Step 4: Simplify right side
    22,007x = 1,841,353,921
  5. Step 5: Solve for x
    x = 1,841,353,921/22,007
  6. Step 6: Final answer
    x = 83,671.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.