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Finding the Third Proportional to 15,845 and 23,719

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Solution

The third proportional to 15,845 and 23,719 is: 35,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,845 : 23,719 = 23,719 : x
  2. Step 2: Convert to fraction form
    15,845/23,719 = 23,719/x
  3. Step 3: Cross multiply
    15,845x = 23,719 × 23,719
  4. Step 4: Simplify right side
    15,845x = 562,590,961
  5. Step 5: Solve for x
    x = 562,590,961/15,845
  6. Step 6: Final answer
    x = 35,505.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.