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Finding the Third Proportional to 27,565.31 and 43,671.66

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Solution

The third proportional to 27,565.31 and 43,671.66 is: 69,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.31 : 43,671.66 = 43,671.66 : x
  2. Step 2: Convert to fraction form
    27,565.31/43,671.66 = 43,671.66/x
  3. Step 3: Cross multiply
    27,565.31x = 43,671.66 × 43,671.66
  4. Step 4: Simplify right side
    27,565.31x = 1,907,213,559.62
  5. Step 5: Solve for x
    x = 1,907,213,559.62/27,565.31
  6. Step 6: Final answer
    x = 69,188.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.