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Finding the Third Proportional to 43,870 and 59,972

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Solution

The third proportional to 43,870 and 59,972 is: 81,984.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,870 : 59,972 = 59,972 : x
  2. Step 2: Convert to fraction form
    43,870/59,972 = 59,972/x
  3. Step 3: Cross multiply
    43,870x = 59,972 × 59,972
  4. Step 4: Simplify right side
    43,870x = 3,596,640,784
  5. Step 5: Solve for x
    x = 3,596,640,784/43,870
  6. Step 6: Final answer
    x = 81,984.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.