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Finding the Third Proportional to 17,612.25 and 27,499.50

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Solution

The third proportional to 17,612.25 and 27,499.50 is: 42,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,612.25 : 27,499.50 = 27,499.50 : x
  2. Step 2: Convert to fraction form
    17,612.25/27,499.50 = 27,499.50/x
  3. Step 3: Cross multiply
    17,612.25x = 27,499.50 × 27,499.50
  4. Step 4: Simplify right side
    17,612.25x = 756,222,500.25
  5. Step 5: Solve for x
    x = 756,222,500.25/17,612.25
  6. Step 6: Final answer
    x = 42,937.30

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.