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Finding the Third Proportional to 16,841.25 and 36,470.25

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Solution

The third proportional to 16,841.25 and 36,470.25 is: 78,977.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,841.25 : 36,470.25 = 36,470.25 : x
  2. Step 2: Convert to fraction form
    16,841.25/36,470.25 = 36,470.25/x
  3. Step 3: Cross multiply
    16,841.25x = 36,470.25 × 36,470.25
  4. Step 4: Simplify right side
    16,841.25x = 1,330,079,135.06
  5. Step 5: Solve for x
    x = 1,330,079,135.06/16,841.25
  6. Step 6: Final answer
    x = 78,977.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.