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Finding the Third Proportional to 10,382.27 and 15,570.21

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Solution

The third proportional to 10,382.27 and 15,570.21 is: 23,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.27 : 15,570.21 = 15,570.21 : x
  2. Step 2: Convert to fraction form
    10,382.27/15,570.21 = 15,570.21/x
  3. Step 3: Cross multiply
    10,382.27x = 15,570.21 × 15,570.21
  4. Step 4: Simplify right side
    10,382.27x = 242,431,468.64
  5. Step 5: Solve for x
    x = 242,431,468.64/10,382.27
  6. Step 6: Final answer
    x = 23,350.52

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Why These Related Problems?

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