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Finding the Third Proportional to 10,531.27 and 21,806.72

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Solution

The third proportional to 10,531.27 and 21,806.72 is: 45,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.27 : 21,806.72 = 21,806.72 : x
  2. Step 2: Convert to fraction form
    10,531.27/21,806.72 = 21,806.72/x
  3. Step 3: Cross multiply
    10,531.27x = 21,806.72 × 21,806.72
  4. Step 4: Simplify right side
    10,531.27x = 475,532,982.64
  5. Step 5: Solve for x
    x = 475,532,982.64/10,531.27
  6. Step 6: Final answer
    x = 45,154.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.