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Finding the Third Proportional to 9,516.50 and 13,527

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Solution

The third proportional to 9,516.50 and 13,527 is: 19,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.50 : 13,527 = 13,527 : x
  2. Step 2: Convert to fraction form
    9,516.50/13,527 = 13,527/x
  3. Step 3: Cross multiply
    9,516.50x = 13,527 × 13,527
  4. Step 4: Simplify right side
    9,516.50x = 182,979,729
  5. Step 5: Solve for x
    x = 182,979,729/9,516.50
  6. Step 6: Final answer
    x = 19,227.63

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.