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Finding the Third Proportional to 21,190.25 and 31,137.25

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Solution

The third proportional to 21,190.25 and 31,137.25 is: 45,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,190.25 : 31,137.25 = 31,137.25 : x
  2. Step 2: Convert to fraction form
    21,190.25/31,137.25 = 31,137.25/x
  3. Step 3: Cross multiply
    21,190.25x = 31,137.25 × 31,137.25
  4. Step 4: Simplify right side
    21,190.25x = 969,528,337.56
  5. Step 5: Solve for x
    x = 969,528,337.56/21,190.25
  6. Step 6: Final answer
    x = 45,753.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.