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Finding the Third Proportional to 20,559.50 and 44,831

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Solution

The third proportional to 20,559.50 and 44,831 is: 97,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,559.50 : 44,831 = 44,831 : x
  2. Step 2: Convert to fraction form
    20,559.50/44,831 = 44,831/x
  3. Step 3: Cross multiply
    20,559.50x = 44,831 × 44,831
  4. Step 4: Simplify right side
    20,559.50x = 2,009,818,561
  5. Step 5: Solve for x
    x = 2,009,818,561/20,559.50
  6. Step 6: Final answer
    x = 97,756.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.