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Finding the Third Proportional to 44,342 and 59,826

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Solution

The third proportional to 44,342 and 59,826 is: 80,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,342 : 59,826 = 59,826 : x
  2. Step 2: Convert to fraction form
    44,342/59,826 = 59,826/x
  3. Step 3: Cross multiply
    44,342x = 59,826 × 59,826
  4. Step 4: Simplify right side
    44,342x = 3,579,150,276
  5. Step 5: Solve for x
    x = 3,579,150,276/44,342
  6. Step 6: Final answer
    x = 80,716.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.