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Finding the Third Proportional to 11,541.38 and 16,531.88

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Solution

The third proportional to 11,541.38 and 16,531.88 is: 23,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541.38 : 16,531.88 = 16,531.88 : x
  2. Step 2: Convert to fraction form
    11,541.38/16,531.88 = 16,531.88/x
  3. Step 3: Cross multiply
    11,541.38x = 16,531.88 × 16,531.88
  4. Step 4: Simplify right side
    11,541.38x = 273,302,891.02
  5. Step 5: Solve for x
    x = 273,302,891.02/11,541.38
  6. Step 6: Final answer
    x = 23,680.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.