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Finding the Third Proportional to 34,026.75 and 55,706.06

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Solution

The third proportional to 34,026.75 and 55,706.06 is: 91,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,026.75 : 55,706.06 = 55,706.06 : x
  2. Step 2: Convert to fraction form
    34,026.75/55,706.06 = 55,706.06/x
  3. Step 3: Cross multiply
    34,026.75x = 55,706.06 × 55,706.06
  4. Step 4: Simplify right side
    34,026.75x = 3,103,165,399.25
  5. Step 5: Solve for x
    x = 3,103,165,399.25/34,026.75
  6. Step 6: Final answer
    x = 91,197.82

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.