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Finding the Third Proportional to 15,102.75 and 32,393.25

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Solution

The third proportional to 15,102.75 and 32,393.25 is: 69,478.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.75 : 32,393.25 = 32,393.25 : x
  2. Step 2: Convert to fraction form
    15,102.75/32,393.25 = 32,393.25/x
  3. Step 3: Cross multiply
    15,102.75x = 32,393.25 × 32,393.25
  4. Step 4: Simplify right side
    15,102.75x = 1,049,322,645.56
  5. Step 5: Solve for x
    x = 1,049,322,645.56/15,102.75
  6. Step 6: Final answer
    x = 69,478.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.