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Finding the Third Proportional to 4,657.50 and 10,236.38

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Solution

The third proportional to 4,657.50 and 10,236.38 is: 22,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.50 : 10,236.38 = 10,236.38 : x
  2. Step 2: Convert to fraction form
    4,657.50/10,236.38 = 10,236.38/x
  3. Step 3: Cross multiply
    4,657.50x = 10,236.38 × 10,236.38
  4. Step 4: Simplify right side
    4,657.50x = 104,783,373.14
  5. Step 5: Solve for x
    x = 104,783,373.14/4,657.50
  6. Step 6: Final answer
    x = 22,497.77

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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.