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Finding the Third Proportional to 27,633.87 and 59,210.58

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Solution

The third proportional to 27,633.87 and 59,210.58 is: 126,869.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633.87 : 59,210.58 = 59,210.58 : x
  2. Step 2: Convert to fraction form
    27,633.87/59,210.58 = 59,210.58/x
  3. Step 3: Cross multiply
    27,633.87x = 59,210.58 × 59,210.58
  4. Step 4: Simplify right side
    27,633.87x = 3,505,892,561.90
  5. Step 5: Solve for x
    x = 3,505,892,561.90/27,633.87
  6. Step 6: Final answer
    x = 126,869.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.