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Finding the Third Proportional to 10,278.38 and 22,458.94

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Solution

The third proportional to 10,278.38 and 22,458.94 is: 49,074.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.38 : 22,458.94 = 22,458.94 : x
  2. Step 2: Convert to fraction form
    10,278.38/22,458.94 = 22,458.94/x
  3. Step 3: Cross multiply
    10,278.38x = 22,458.94 × 22,458.94
  4. Step 4: Simplify right side
    10,278.38x = 504,403,873.63
  5. Step 5: Solve for x
    x = 504,403,873.63/10,278.38
  6. Step 6: Final answer
    x = 49,074.28

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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.