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Finding the Third Proportional to 6,382.13 and 15,428.81

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Solution

The third proportional to 6,382.13 and 15,428.81 is: 37,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.13 : 15,428.81 = 15,428.81 : x
  2. Step 2: Convert to fraction form
    6,382.13/15,428.81 = 15,428.81/x
  3. Step 3: Cross multiply
    6,382.13x = 15,428.81 × 15,428.81
  4. Step 4: Simplify right side
    6,382.13x = 238,048,255.16
  5. Step 5: Solve for x
    x = 238,048,255.16/6,382.13
  6. Step 6: Final answer
    x = 37,299.22

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.