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Finding the Third Proportional to 5,487.50 and 10,697

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Solution

The third proportional to 5,487.50 and 10,697 is: 20,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.50 : 10,697 = 10,697 : x
  2. Step 2: Convert to fraction form
    5,487.50/10,697 = 10,697/x
  3. Step 3: Cross multiply
    5,487.50x = 10,697 × 10,697
  4. Step 4: Simplify right side
    5,487.50x = 114,425,809
  5. Step 5: Solve for x
    x = 114,425,809/5,487.50
  6. Step 6: Final answer
    x = 20,852.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.