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Finding the Third Proportional to 29,579 and 65,719

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Solution

The third proportional to 29,579 and 65,719 is: 146,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,579 : 65,719 = 65,719 : x
  2. Step 2: Convert to fraction form
    29,579/65,719 = 65,719/x
  3. Step 3: Cross multiply
    29,579x = 65,719 × 65,719
  4. Step 4: Simplify right side
    29,579x = 4,318,986,961
  5. Step 5: Solve for x
    x = 4,318,986,961/29,579
  6. Step 6: Final answer
    x = 146,015.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.