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Finding the Third Proportional to 38,028.09 and 59,116.22

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Solution

The third proportional to 38,028.09 and 59,116.22 is: 91,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,028.09 : 59,116.22 = 59,116.22 : x
  2. Step 2: Convert to fraction form
    38,028.09/59,116.22 = 59,116.22/x
  3. Step 3: Cross multiply
    38,028.09x = 59,116.22 × 59,116.22
  4. Step 4: Simplify right side
    38,028.09x = 3,494,727,319.30
  5. Step 5: Solve for x
    x = 3,494,727,319.30/38,028.09
  6. Step 6: Final answer
    x = 91,898.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.