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Finding the Third Proportional to 25,278.75 and 28,032.75

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Solution

The third proportional to 25,278.75 and 28,032.75 is: 31,086.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278.75 : 28,032.75 = 28,032.75 : x
  2. Step 2: Convert to fraction form
    25,278.75/28,032.75 = 28,032.75/x
  3. Step 3: Cross multiply
    25,278.75x = 28,032.75 × 28,032.75
  4. Step 4: Simplify right side
    25,278.75x = 785,835,072.56
  5. Step 5: Solve for x
    x = 785,835,072.56/25,278.75
  6. Step 6: Final answer
    x = 31,086.79

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.