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Finding the Third Proportional to 43,039 and 61,989

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Solution

The third proportional to 43,039 and 61,989 is: 89,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,039 : 61,989 = 61,989 : x
  2. Step 2: Convert to fraction form
    43,039/61,989 = 61,989/x
  3. Step 3: Cross multiply
    43,039x = 61,989 × 61,989
  4. Step 4: Simplify right side
    43,039x = 3,842,636,121
  5. Step 5: Solve for x
    x = 3,842,636,121/43,039
  6. Step 6: Final answer
    x = 89,282.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.