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Finding the Third Proportional to 19,251 and 31,630.50

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Solution

The third proportional to 19,251 and 31,630.50 is: 51,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,251 : 31,630.50 = 31,630.50 : x
  2. Step 2: Convert to fraction form
    19,251/31,630.50 = 31,630.50/x
  3. Step 3: Cross multiply
    19,251x = 31,630.50 × 31,630.50
  4. Step 4: Simplify right side
    19,251x = 1,000,488,530.25
  5. Step 5: Solve for x
    x = 1,000,488,530.25/19,251
  6. Step 6: Final answer
    x = 51,970.73

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.