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Finding the Third Proportional to 31,982 and 69,787

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Solution

The third proportional to 31,982 and 69,787 is: 152,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982 : 69,787 = 69,787 : x
  2. Step 2: Convert to fraction form
    31,982/69,787 = 69,787/x
  3. Step 3: Cross multiply
    31,982x = 69,787 × 69,787
  4. Step 4: Simplify right side
    31,982x = 4,870,225,369
  5. Step 5: Solve for x
    x = 4,870,225,369/31,982
  6. Step 6: Final answer
    x = 152,280.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.