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Finding the Third Proportional to 30,102.75 and 34,476.75

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Solution

The third proportional to 30,102.75 and 34,476.75 is: 39,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.75 : 34,476.75 = 34,476.75 : x
  2. Step 2: Convert to fraction form
    30,102.75/34,476.75 = 34,476.75/x
  3. Step 3: Cross multiply
    30,102.75x = 34,476.75 × 34,476.75
  4. Step 4: Simplify right side
    30,102.75x = 1,188,646,290.56
  5. Step 5: Solve for x
    x = 1,188,646,290.56/30,102.75
  6. Step 6: Final answer
    x = 39,486.30

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.