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Finding the Third Proportional to 19,497.50 and 31,391

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Solution

The third proportional to 19,497.50 and 31,391 is: 50,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.50 : 31,391 = 31,391 : x
  2. Step 2: Convert to fraction form
    19,497.50/31,391 = 31,391/x
  3. Step 3: Cross multiply
    19,497.50x = 31,391 × 31,391
  4. Step 4: Simplify right side
    19,497.50x = 985,394,881
  5. Step 5: Solve for x
    x = 985,394,881/19,497.50
  6. Step 6: Final answer
    x = 50,539.55

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Why These Related Problems?

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