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Finding the Third Proportional to 10,367.37 and 15,561.49

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Solution

The third proportional to 10,367.37 and 15,561.49 is: 23,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.37 : 15,561.49 = 15,561.49 : x
  2. Step 2: Convert to fraction form
    10,367.37/15,561.49 = 15,561.49/x
  3. Step 3: Cross multiply
    10,367.37x = 15,561.49 × 15,561.49
  4. Step 4: Simplify right side
    10,367.37x = 242,160,039.10
  5. Step 5: Solve for x
    x = 242,160,039.10/10,367.37
  6. Step 6: Final answer
    x = 23,357.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.