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Finding the Third Proportional to 19,918 and 30,581

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Solution

The third proportional to 19,918 and 30,581 is: 46,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,918 : 30,581 = 30,581 : x
  2. Step 2: Convert to fraction form
    19,918/30,581 = 30,581/x
  3. Step 3: Cross multiply
    19,918x = 30,581 × 30,581
  4. Step 4: Simplify right side
    19,918x = 935,197,561
  5. Step 5: Solve for x
    x = 935,197,561/19,918
  6. Step 6: Final answer
    x = 46,952.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.