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Finding the Third Proportional to 10,299.66 and 22,057.31

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Solution

The third proportional to 10,299.66 and 22,057.31 is: 47,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.66 : 22,057.31 = 22,057.31 : x
  2. Step 2: Convert to fraction form
    10,299.66/22,057.31 = 22,057.31/x
  3. Step 3: Cross multiply
    10,299.66x = 22,057.31 × 22,057.31
  4. Step 4: Simplify right side
    10,299.66x = 486,525,034.72
  5. Step 5: Solve for x
    x = 486,525,034.72/10,299.66
  6. Step 6: Final answer
    x = 47,237.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.