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Finding the Third Proportional to 10,131.94 and 15,157.41

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Solution

The third proportional to 10,131.94 and 15,157.41 is: 22,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.94 : 15,157.41 = 15,157.41 : x
  2. Step 2: Convert to fraction form
    10,131.94/15,157.41 = 15,157.41/x
  3. Step 3: Cross multiply
    10,131.94x = 15,157.41 × 15,157.41
  4. Step 4: Simplify right side
    10,131.94x = 229,746,964.23
  5. Step 5: Solve for x
    x = 229,746,964.23/10,131.94
  6. Step 6: Final answer
    x = 22,675.52

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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.