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Finding the Third Proportional to 20,697.50 and 44,851

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Solution

The third proportional to 20,697.50 and 44,851 is: 97,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.50 : 44,851 = 44,851 : x
  2. Step 2: Convert to fraction form
    20,697.50/44,851 = 44,851/x
  3. Step 3: Cross multiply
    20,697.50x = 44,851 × 44,851
  4. Step 4: Simplify right side
    20,697.50x = 2,011,612,201
  5. Step 5: Solve for x
    x = 2,011,612,201/20,697.50
  6. Step 6: Final answer
    x = 97,191.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.