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Finding the Third Proportional to 5,038.93 and 11,083.08

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Solution

The third proportional to 5,038.93 and 11,083.08 is: 24,377.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.93 : 11,083.08 = 11,083.08 : x
  2. Step 2: Convert to fraction form
    5,038.93/11,083.08 = 11,083.08/x
  3. Step 3: Cross multiply
    5,038.93x = 11,083.08 × 11,083.08
  4. Step 4: Simplify right side
    5,038.93x = 122,834,620.72
  5. Step 5: Solve for x
    x = 122,834,620.72/5,038.93
  6. Step 6: Final answer
    x = 24,377.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.