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Finding the Third Proportional to 24,395 and 50,719

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Solution

The third proportional to 24,395 and 50,719 is: 105,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,395 : 50,719 = 50,719 : x
  2. Step 2: Convert to fraction form
    24,395/50,719 = 50,719/x
  3. Step 3: Cross multiply
    24,395x = 50,719 × 50,719
  4. Step 4: Simplify right side
    24,395x = 2,572,416,961
  5. Step 5: Solve for x
    x = 2,572,416,961/24,395
  6. Step 6: Final answer
    x = 105,448.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.