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Finding the Third Proportional to 10,177.50 and 21,003

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Solution

The third proportional to 10,177.50 and 21,003 is: 43,343.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.50 : 21,003 = 21,003 : x
  2. Step 2: Convert to fraction form
    10,177.50/21,003 = 21,003/x
  3. Step 3: Cross multiply
    10,177.50x = 21,003 × 21,003
  4. Step 4: Simplify right side
    10,177.50x = 441,126,009
  5. Step 5: Solve for x
    x = 441,126,009/10,177.50
  6. Step 6: Final answer
    x = 43,343.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.