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Finding the Third Proportional to 10,418.63 and 22,813.52

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Solution

The third proportional to 10,418.63 and 22,813.52 is: 49,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.63 : 22,813.52 = 22,813.52 : x
  2. Step 2: Convert to fraction form
    10,418.63/22,813.52 = 22,813.52/x
  3. Step 3: Cross multiply
    10,418.63x = 22,813.52 × 22,813.52
  4. Step 4: Simplify right side
    10,418.63x = 520,456,851.63
  5. Step 5: Solve for x
    x = 520,456,851.63/10,418.63
  6. Step 6: Final answer
    x = 49,954.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.