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Finding the Third Proportional to 16,376.87 and 25,884.39

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Solution

The third proportional to 16,376.87 and 25,884.39 is: 40,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.87 : 25,884.39 = 25,884.39 : x
  2. Step 2: Convert to fraction form
    16,376.87/25,884.39 = 25,884.39/x
  3. Step 3: Cross multiply
    16,376.87x = 25,884.39 × 25,884.39
  4. Step 4: Simplify right side
    16,376.87x = 670,001,873.93
  5. Step 5: Solve for x
    x = 670,001,873.93/16,376.87
  6. Step 6: Final answer
    x = 40,911.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.