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Finding the Third Proportional to 20,455.50 and 42,729

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Solution

The third proportional to 20,455.50 and 42,729 is: 89,255.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,455.50 : 42,729 = 42,729 : x
  2. Step 2: Convert to fraction form
    20,455.50/42,729 = 42,729/x
  3. Step 3: Cross multiply
    20,455.50x = 42,729 × 42,729
  4. Step 4: Simplify right side
    20,455.50x = 1,825,767,441
  5. Step 5: Solve for x
    x = 1,825,767,441/20,455.50
  6. Step 6: Final answer
    x = 89,255.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.