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Finding the Third Proportional to 26,601.75 and 29,085.75

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Solution

The third proportional to 26,601.75 and 29,085.75 is: 31,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,601.75 : 29,085.75 = 29,085.75 : x
  2. Step 2: Convert to fraction form
    26,601.75/29,085.75 = 29,085.75/x
  3. Step 3: Cross multiply
    26,601.75x = 29,085.75 × 29,085.75
  4. Step 4: Simplify right side
    26,601.75x = 845,980,853.06
  5. Step 5: Solve for x
    x = 845,980,853.06/26,601.75
  6. Step 6: Final answer
    x = 31,801.70

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.