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Finding the Third Proportional to 15,496.31 and 22,135.78

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Solution

The third proportional to 15,496.31 and 22,135.78 is: 31,619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496.31 : 22,135.78 = 22,135.78 : x
  2. Step 2: Convert to fraction form
    15,496.31/22,135.78 = 22,135.78/x
  3. Step 3: Cross multiply
    15,496.31x = 22,135.78 × 22,135.78
  4. Step 4: Simplify right side
    15,496.31x = 489,992,811.55
  5. Step 5: Solve for x
    x = 489,992,811.55/15,496.31
  6. Step 6: Final answer
    x = 31,619.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.