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Finding the Third Proportional to 19,967 and 42,369

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Solution

The third proportional to 19,967 and 42,369 is: 89,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967 : 42,369 = 42,369 : x
  2. Step 2: Convert to fraction form
    19,967/42,369 = 42,369/x
  3. Step 3: Cross multiply
    19,967x = 42,369 × 42,369
  4. Step 4: Simplify right side
    19,967x = 1,795,132,161
  5. Step 5: Solve for x
    x = 1,795,132,161/19,967
  6. Step 6: Final answer
    x = 89,904.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.