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Finding the Third Proportional to 5,242.50 and 11,349.56

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Solution

The third proportional to 5,242.50 and 11,349.56 is: 24,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.50 : 11,349.56 = 11,349.56 : x
  2. Step 2: Convert to fraction form
    5,242.50/11,349.56 = 11,349.56/x
  3. Step 3: Cross multiply
    5,242.50x = 11,349.56 × 11,349.56
  4. Step 4: Simplify right side
    5,242.50x = 128,812,568.94
  5. Step 5: Solve for x
    x = 128,812,568.94/5,242.50
  6. Step 6: Final answer
    x = 24,570.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.