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Finding the Third Proportional to 19,850 and 31,598

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Solution

The third proportional to 19,850 and 31,598 is: 50,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850 : 31,598 = 31,598 : x
  2. Step 2: Convert to fraction form
    19,850/31,598 = 31,598/x
  3. Step 3: Cross multiply
    19,850x = 31,598 × 31,598
  4. Step 4: Simplify right side
    19,850x = 998,433,604
  5. Step 5: Solve for x
    x = 998,433,604/19,850
  6. Step 6: Final answer
    x = 50,298.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.