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Finding the Third Proportional to 9,592 and 20,516.50

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Solution

The third proportional to 9,592 and 20,516.50 is: 43,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592 : 20,516.50 = 20,516.50 : x
  2. Step 2: Convert to fraction form
    9,592/20,516.50 = 20,516.50/x
  3. Step 3: Cross multiply
    9,592x = 20,516.50 × 20,516.50
  4. Step 4: Simplify right side
    9,592x = 420,926,772.25
  5. Step 5: Solve for x
    x = 420,926,772.25/9,592
  6. Step 6: Final answer
    x = 43,883.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.