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Finding the Third Proportional to 40,789 and 59,605

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Solution

The third proportional to 40,789 and 59,605 is: 87,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,789 : 59,605 = 59,605 : x
  2. Step 2: Convert to fraction form
    40,789/59,605 = 59,605/x
  3. Step 3: Cross multiply
    40,789x = 59,605 × 59,605
  4. Step 4: Simplify right side
    40,789x = 3,552,756,025
  5. Step 5: Solve for x
    x = 3,552,756,025/40,789
  6. Step 6: Final answer
    x = 87,100.84

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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.