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Finding the Third Proportional to 29,619 and 64,719

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Solution

The third proportional to 29,619 and 64,719 is: 141,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,619 : 64,719 = 64,719 : x
  2. Step 2: Convert to fraction form
    29,619/64,719 = 64,719/x
  3. Step 3: Cross multiply
    29,619x = 64,719 × 64,719
  4. Step 4: Simplify right side
    29,619x = 4,188,548,961
  5. Step 5: Solve for x
    x = 4,188,548,961/29,619
  6. Step 6: Final answer
    x = 141,414.26

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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.