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Finding the Third Proportional to 5,139.19 and 11,007.19

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Solution

The third proportional to 5,139.19 and 11,007.19 is: 23,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.19 : 11,007.19 = 11,007.19 : x
  2. Step 2: Convert to fraction form
    5,139.19/11,007.19 = 11,007.19/x
  3. Step 3: Cross multiply
    5,139.19x = 11,007.19 × 11,007.19
  4. Step 4: Simplify right side
    5,139.19x = 121,158,176.66
  5. Step 5: Solve for x
    x = 121,158,176.66/5,139.19
  6. Step 6: Final answer
    x = 23,575.36

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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.