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Finding the Third Proportional to 5,001.75 and 12,117.94

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Solution

The third proportional to 5,001.75 and 12,117.94 is: 29,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,001.75 : 12,117.94 = 12,117.94 : x
  2. Step 2: Convert to fraction form
    5,001.75/12,117.94 = 12,117.94/x
  3. Step 3: Cross multiply
    5,001.75x = 12,117.94 × 12,117.94
  4. Step 4: Simplify right side
    5,001.75x = 146,844,409.25
  5. Step 5: Solve for x
    x = 146,844,409.25/5,001.75
  6. Step 6: Final answer
    x = 29,358.61

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.