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Finding the Third Proportional to 38,993.63 and 59,311.13

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Solution

The third proportional to 38,993.63 and 59,311.13 is: 90,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,993.63 : 59,311.13 = 59,311.13 : x
  2. Step 2: Convert to fraction form
    38,993.63/59,311.13 = 59,311.13/x
  3. Step 3: Cross multiply
    38,993.63x = 59,311.13 × 59,311.13
  4. Step 4: Simplify right side
    38,993.63x = 3,517,809,548.77
  5. Step 5: Solve for x
    x = 3,517,809,548.77/38,993.63
  6. Step 6: Final answer
    x = 90,214.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.