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Finding the Third Proportional to 5,148.42 and 11,299.22

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Solution

The third proportional to 5,148.42 and 11,299.22 is: 24,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.42 : 11,299.22 = 11,299.22 : x
  2. Step 2: Convert to fraction form
    5,148.42/11,299.22 = 11,299.22/x
  3. Step 3: Cross multiply
    5,148.42x = 11,299.22 × 11,299.22
  4. Step 4: Simplify right side
    5,148.42x = 127,672,344.36
  5. Step 5: Solve for x
    x = 127,672,344.36/5,148.42
  6. Step 6: Final answer
    x = 24,798.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.