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Finding the Third Proportional to 20,152.50 and 28,329

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Solution

The third proportional to 20,152.50 and 28,329 is: 39,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.50 : 28,329 = 28,329 : x
  2. Step 2: Convert to fraction form
    20,152.50/28,329 = 28,329/x
  3. Step 3: Cross multiply
    20,152.50x = 28,329 × 28,329
  4. Step 4: Simplify right side
    20,152.50x = 802,532,241
  5. Step 5: Solve for x
    x = 802,532,241/20,152.50
  6. Step 6: Final answer
    x = 39,822.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.