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Finding the Third Proportional to 37,881 and 56,086.50

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Solution

The third proportional to 37,881 and 56,086.50 is: 83,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,881 : 56,086.50 = 56,086.50 : x
  2. Step 2: Convert to fraction form
    37,881/56,086.50 = 56,086.50/x
  3. Step 3: Cross multiply
    37,881x = 56,086.50 × 56,086.50
  4. Step 4: Simplify right side
    37,881x = 3,145,695,482.25
  5. Step 5: Solve for x
    x = 3,145,695,482.25/37,881
  6. Step 6: Final answer
    x = 83,041.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.