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Finding the Third Proportional to 38,325 and 59,818.50

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Solution

The third proportional to 38,325 and 59,818.50 is: 93,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,325 : 59,818.50 = 59,818.50 : x
  2. Step 2: Convert to fraction form
    38,325/59,818.50 = 59,818.50/x
  3. Step 3: Cross multiply
    38,325x = 59,818.50 × 59,818.50
  4. Step 4: Simplify right side
    38,325x = 3,578,252,942.25
  5. Step 5: Solve for x
    x = 3,578,252,942.25/38,325
  6. Step 6: Final answer
    x = 93,366.03

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.