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Finding the Third Proportional to 5,217.75 and 11,407.50

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Solution

The third proportional to 5,217.75 and 11,407.50 is: 24,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.75 : 11,407.50 = 11,407.50 : x
  2. Step 2: Convert to fraction form
    5,217.75/11,407.50 = 11,407.50/x
  3. Step 3: Cross multiply
    5,217.75x = 11,407.50 × 11,407.50
  4. Step 4: Simplify right side
    5,217.75x = 130,131,056.25
  5. Step 5: Solve for x
    x = 130,131,056.25/5,217.75
  6. Step 6: Final answer
    x = 24,940.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.