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Finding the Third Proportional to 19,579 and 42,317

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Solution

The third proportional to 19,579 and 42,317 is: 91,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,579 : 42,317 = 42,317 : x
  2. Step 2: Convert to fraction form
    19,579/42,317 = 42,317/x
  3. Step 3: Cross multiply
    19,579x = 42,317 × 42,317
  4. Step 4: Simplify right side
    19,579x = 1,790,728,489
  5. Step 5: Solve for x
    x = 1,790,728,489/19,579
  6. Step 6: Final answer
    x = 91,461.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.