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Finding the Third Proportional to 36,956.25 and 59,278.50

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Solution

The third proportional to 36,956.25 and 59,278.50 is: 95,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,956.25 : 59,278.50 = 59,278.50 : x
  2. Step 2: Convert to fraction form
    36,956.25/59,278.50 = 59,278.50/x
  3. Step 3: Cross multiply
    36,956.25x = 59,278.50 × 59,278.50
  4. Step 4: Simplify right side
    36,956.25x = 3,513,940,562.25
  5. Step 5: Solve for x
    x = 3,513,940,562.25/36,956.25
  6. Step 6: Final answer
    x = 95,083.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.