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Finding the Third Proportional to 30,489 and 66,719

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Solution

The third proportional to 30,489 and 66,719 is: 146,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489 : 66,719 = 66,719 : x
  2. Step 2: Convert to fraction form
    30,489/66,719 = 66,719/x
  3. Step 3: Cross multiply
    30,489x = 66,719 × 66,719
  4. Step 4: Simplify right side
    30,489x = 4,451,424,961
  5. Step 5: Solve for x
    x = 4,451,424,961/30,489
  6. Step 6: Final answer
    x = 146,001.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.