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Finding the Third Proportional to 10,033 and 21,101

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Solution

The third proportional to 10,033 and 21,101 is: 44,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033 : 21,101 = 21,101 : x
  2. Step 2: Convert to fraction form
    10,033/21,101 = 21,101/x
  3. Step 3: Cross multiply
    10,033x = 21,101 × 21,101
  4. Step 4: Simplify right side
    10,033x = 445,252,201
  5. Step 5: Solve for x
    x = 445,252,201/10,033
  6. Step 6: Final answer
    x = 44,378.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.