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Finding the Third Proportional to 10,005 and 21,771.75

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Solution

The third proportional to 10,005 and 21,771.75 is: 47,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005 : 21,771.75 = 21,771.75 : x
  2. Step 2: Convert to fraction form
    10,005/21,771.75 = 21,771.75/x
  3. Step 3: Cross multiply
    10,005x = 21,771.75 × 21,771.75
  4. Step 4: Simplify right side
    10,005x = 474,009,098.06
  5. Step 5: Solve for x
    x = 474,009,098.06/10,005
  6. Step 6: Final answer
    x = 47,377.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.