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Finding the Third Proportional to 37,818 and 50,737.50

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Solution

The third proportional to 37,818 and 50,737.50 is: 68,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,818 : 50,737.50 = 50,737.50 : x
  2. Step 2: Convert to fraction form
    37,818/50,737.50 = 50,737.50/x
  3. Step 3: Cross multiply
    37,818x = 50,737.50 × 50,737.50
  4. Step 4: Simplify right side
    37,818x = 2,574,293,906.25
  5. Step 5: Solve for x
    x = 2,574,293,906.25/37,818
  6. Step 6: Final answer
    x = 68,070.60

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.