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Finding the Third Proportional to 19,317 and 42,321

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Solution

The third proportional to 19,317 and 42,321 is: 92,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,317 : 42,321 = 42,321 : x
  2. Step 2: Convert to fraction form
    19,317/42,321 = 42,321/x
  3. Step 3: Cross multiply
    19,317x = 42,321 × 42,321
  4. Step 4: Simplify right side
    19,317x = 1,791,067,041
  5. Step 5: Solve for x
    x = 1,791,067,041/19,317
  6. Step 6: Final answer
    x = 92,719.73

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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.