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Finding the Third Proportional to 19,975.50 and 28,458

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Solution

The third proportional to 19,975.50 and 28,458 is: 40,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975.50 : 28,458 = 28,458 : x
  2. Step 2: Convert to fraction form
    19,975.50/28,458 = 28,458/x
  3. Step 3: Cross multiply
    19,975.50x = 28,458 × 28,458
  4. Step 4: Simplify right side
    19,975.50x = 809,857,764
  5. Step 5: Solve for x
    x = 809,857,764/19,975.50
  6. Step 6: Final answer
    x = 40,542.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.