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Finding the Third Proportional to 4,724.26 and 10,140.50

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Solution

The third proportional to 4,724.26 and 10,140.50 is: 21,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.26 : 10,140.50 = 10,140.50 : x
  2. Step 2: Convert to fraction form
    4,724.26/10,140.50 = 10,140.50/x
  3. Step 3: Cross multiply
    4,724.26x = 10,140.50 × 10,140.50
  4. Step 4: Simplify right side
    4,724.26x = 102,829,819.47
  5. Step 5: Solve for x
    x = 102,829,819.47/4,724.26
  6. Step 6: Final answer
    x = 21,766.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.