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Finding the Third Proportional to 20,551.50 and 28,597.50

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Solution

The third proportional to 20,551.50 and 28,597.50 is: 39,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,551.50 : 28,597.50 = 28,597.50 : x
  2. Step 2: Convert to fraction form
    20,551.50/28,597.50 = 28,597.50/x
  3. Step 3: Cross multiply
    20,551.50x = 28,597.50 × 28,597.50
  4. Step 4: Simplify right side
    20,551.50x = 817,817,006.25
  5. Step 5: Solve for x
    x = 817,817,006.25/20,551.50
  6. Step 6: Final answer
    x = 39,793.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.