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Finding the Third Proportional to 10,012.50 and 21,105

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Solution

The third proportional to 10,012.50 and 21,105 is: 44,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.50 : 21,105 = 21,105 : x
  2. Step 2: Convert to fraction form
    10,012.50/21,105 = 21,105/x
  3. Step 3: Cross multiply
    10,012.50x = 21,105 × 21,105
  4. Step 4: Simplify right side
    10,012.50x = 445,421,025
  5. Step 5: Solve for x
    x = 445,421,025/10,012.50
  6. Step 6: Final answer
    x = 44,486.49

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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.