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Finding the Third Proportional to 10,014 and 21,102

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Solution

The third proportional to 10,014 and 21,102 is: 44,467.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014 : 21,102 = 21,102 : x
  2. Step 2: Convert to fraction form
    10,014/21,102 = 21,102/x
  3. Step 3: Cross multiply
    10,014x = 21,102 × 21,102
  4. Step 4: Simplify right side
    10,014x = 445,294,404
  5. Step 5: Solve for x
    x = 445,294,404/10,014
  6. Step 6: Final answer
    x = 44,467.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.