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Finding the Third Proportional to 25,278.75 and 36,414.56

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Solution

The third proportional to 25,278.75 and 36,414.56 is: 52,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278.75 : 36,414.56 = 36,414.56 : x
  2. Step 2: Convert to fraction form
    25,278.75/36,414.56 = 36,414.56/x
  3. Step 3: Cross multiply
    25,278.75x = 36,414.56 × 36,414.56
  4. Step 4: Simplify right side
    25,278.75x = 1,326,020,362.07
  5. Step 5: Solve for x
    x = 1,326,020,362.07/25,278.75
  6. Step 6: Final answer
    x = 52,455.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.