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Finding the Third Proportional to 27,068.06 and 41,658.75

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Solution

The third proportional to 27,068.06 and 41,658.75 is: 64,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,068.06 : 41,658.75 = 41,658.75 : x
  2. Step 2: Convert to fraction form
    27,068.06/41,658.75 = 41,658.75/x
  3. Step 3: Cross multiply
    27,068.06x = 41,658.75 × 41,658.75
  4. Step 4: Simplify right side
    27,068.06x = 1,735,451,451.56
  5. Step 5: Solve for x
    x = 1,735,451,451.56/27,068.06
  6. Step 6: Final answer
    x = 64,114.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.