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Finding the Third Proportional to 23,086 and 50,492

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Solution

The third proportional to 23,086 and 50,492 is: 110,432.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086 : 50,492 = 50,492 : x
  2. Step 2: Convert to fraction form
    23,086/50,492 = 50,492/x
  3. Step 3: Cross multiply
    23,086x = 50,492 × 50,492
  4. Step 4: Simplify right side
    23,086x = 2,549,442,064
  5. Step 5: Solve for x
    x = 2,549,442,064/23,086
  6. Step 6: Final answer
    x = 110,432.39

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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.