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Finding the Third Proportional to 40,717 and 59,616.50

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Solution

The third proportional to 40,717 and 59,616.50 is: 87,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,717 : 59,616.50 = 59,616.50 : x
  2. Step 2: Convert to fraction form
    40,717/59,616.50 = 59,616.50/x
  3. Step 3: Cross multiply
    40,717x = 59,616.50 × 59,616.50
  4. Step 4: Simplify right side
    40,717x = 3,554,127,072.25
  5. Step 5: Solve for x
    x = 3,554,127,072.25/40,717
  6. Step 6: Final answer
    x = 87,288.53

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.