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Finding the Third Proportional to 9,772.50 and 21,489

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Solution

The third proportional to 9,772.50 and 21,489 is: 47,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.50 : 21,489 = 21,489 : x
  2. Step 2: Convert to fraction form
    9,772.50/21,489 = 21,489/x
  3. Step 3: Cross multiply
    9,772.50x = 21,489 × 21,489
  4. Step 4: Simplify right side
    9,772.50x = 461,777,121
  5. Step 5: Solve for x
    x = 461,777,121/9,772.50
  6. Step 6: Final answer
    x = 47,252.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.