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Finding the Third Proportional to 37,235.81 and 52,086.94

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Solution

The third proportional to 37,235.81 and 52,086.94 is: 72,861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,235.81 : 52,086.94 = 52,086.94 : x
  2. Step 2: Convert to fraction form
    37,235.81/52,086.94 = 52,086.94/x
  3. Step 3: Cross multiply
    37,235.81x = 52,086.94 × 52,086.94
  4. Step 4: Simplify right side
    37,235.81x = 2,713,049,058.13
  5. Step 5: Solve for x
    x = 2,713,049,058.13/37,235.81
  6. Step 6: Final answer
    x = 72,861.28

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.