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Finding the Third Proportional to 31,879.13 and 66,061.13

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Solution

The third proportional to 31,879.13 and 66,061.13 is: 136,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.13 : 66,061.13 = 66,061.13 : x
  2. Step 2: Convert to fraction form
    31,879.13/66,061.13 = 66,061.13/x
  3. Step 3: Cross multiply
    31,879.13x = 66,061.13 × 66,061.13
  4. Step 4: Simplify right side
    31,879.13x = 4,364,072,236.27
  5. Step 5: Solve for x
    x = 4,364,072,236.27/31,879.13
  6. Step 6: Final answer
    x = 136,894.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.