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Finding the Third Proportional to 21,818.25 and 46,976.63

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Solution

The third proportional to 21,818.25 and 46,976.63 is: 101,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818.25 : 46,976.63 = 46,976.63 : x
  2. Step 2: Convert to fraction form
    21,818.25/46,976.63 = 46,976.63/x
  3. Step 3: Cross multiply
    21,818.25x = 46,976.63 × 46,976.63
  4. Step 4: Simplify right side
    21,818.25x = 2,206,803,296.39
  5. Step 5: Solve for x
    x = 2,206,803,296.39/21,818.25
  6. Step 6: Final answer
    x = 101,144.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.