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Finding the Third Proportional to 40,036 and 59,830

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Solution

The third proportional to 40,036 and 59,830 is: 89,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,036 : 59,830 = 59,830 : x
  2. Step 2: Convert to fraction form
    40,036/59,830 = 59,830/x
  3. Step 3: Cross multiply
    40,036x = 59,830 × 59,830
  4. Step 4: Simplify right side
    40,036x = 3,579,628,900
  5. Step 5: Solve for x
    x = 3,579,628,900/40,036
  6. Step 6: Final answer
    x = 89,410.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.