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Finding the Third Proportional to 11,345.06 and 30,572.44

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Solution

The third proportional to 11,345.06 and 30,572.44 is: 82,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.06 : 30,572.44 = 30,572.44 : x
  2. Step 2: Convert to fraction form
    11,345.06/30,572.44 = 30,572.44/x
  3. Step 3: Cross multiply
    11,345.06x = 30,572.44 × 30,572.44
  4. Step 4: Simplify right side
    11,345.06x = 934,673,934.69
  5. Step 5: Solve for x
    x = 934,673,934.69/11,345.06
  6. Step 6: Final answer
    x = 82,385.97

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.