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Finding the Third Proportional to 4,997.50 and 10,724

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Solution

The third proportional to 4,997.50 and 10,724 is: 23,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997.50 : 10,724 = 10,724 : x
  2. Step 2: Convert to fraction form
    4,997.50/10,724 = 10,724/x
  3. Step 3: Cross multiply
    4,997.50x = 10,724 × 10,724
  4. Step 4: Simplify right side
    4,997.50x = 115,004,176
  5. Step 5: Solve for x
    x = 115,004,176/4,997.50
  6. Step 6: Final answer
    x = 23,012.34

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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.