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Finding the Third Proportional to 11,541.75 and 24,807.47

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Solution

The third proportional to 11,541.75 and 24,807.47 is: 53,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541.75 : 24,807.47 = 24,807.47 : x
  2. Step 2: Convert to fraction form
    11,541.75/24,807.47 = 24,807.47/x
  3. Step 3: Cross multiply
    11,541.75x = 24,807.47 × 24,807.47
  4. Step 4: Simplify right side
    11,541.75x = 615,410,505.78
  5. Step 5: Solve for x
    x = 615,410,505.78/11,541.75
  6. Step 6: Final answer
    x = 53,320.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.