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Finding the Third Proportional to 10,251.56 and 21,915.56

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Solution

The third proportional to 10,251.56 and 21,915.56 is: 46,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.56 : 21,915.56 = 21,915.56 : x
  2. Step 2: Convert to fraction form
    10,251.56/21,915.56 = 21,915.56/x
  3. Step 3: Cross multiply
    10,251.56x = 21,915.56 × 21,915.56
  4. Step 4: Simplify right side
    10,251.56x = 480,291,879.69
  5. Step 5: Solve for x
    x = 480,291,879.69/10,251.56
  6. Step 6: Final answer
    x = 46,850.60

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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.