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Finding the Third Proportional to 30,441 and 61,719

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Solution

The third proportional to 30,441 and 61,719 is: 125,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441 : 61,719 = 61,719 : x
  2. Step 2: Convert to fraction form
    30,441/61,719 = 61,719/x
  3. Step 3: Cross multiply
    30,441x = 61,719 × 61,719
  4. Step 4: Simplify right side
    30,441x = 3,809,234,961
  5. Step 5: Solve for x
    x = 3,809,234,961/30,441
  6. Step 6: Final answer
    x = 125,135.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.