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Finding the Third Proportional to 19,350 and 42,344

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Solution

The third proportional to 19,350 and 42,344 is: 92,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,350 : 42,344 = 42,344 : x
  2. Step 2: Convert to fraction form
    19,350/42,344 = 42,344/x
  3. Step 3: Cross multiply
    19,350x = 42,344 × 42,344
  4. Step 4: Simplify right side
    19,350x = 1,793,014,336
  5. Step 5: Solve for x
    x = 1,793,014,336/19,350
  6. Step 6: Final answer
    x = 92,662.24

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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.