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Finding the Third Proportional to 19,498.50 and 31,401

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Solution

The third proportional to 19,498.50 and 31,401 is: 50,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.50 : 31,401 = 31,401 : x
  2. Step 2: Convert to fraction form
    19,498.50/31,401 = 31,401/x
  3. Step 3: Cross multiply
    19,498.50x = 31,401 × 31,401
  4. Step 4: Simplify right side
    19,498.50x = 986,022,801
  5. Step 5: Solve for x
    x = 986,022,801/19,498.50
  6. Step 6: Final answer
    x = 50,569.16

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.