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Finding the Third Proportional to 17,842.78 and 24,577.17

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Solution

The third proportional to 17,842.78 and 24,577.17 is: 33,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.78 : 24,577.17 = 24,577.17 : x
  2. Step 2: Convert to fraction form
    17,842.78/24,577.17 = 24,577.17/x
  3. Step 3: Cross multiply
    17,842.78x = 24,577.17 × 24,577.17
  4. Step 4: Simplify right side
    17,842.78x = 604,037,377.37
  5. Step 5: Solve for x
    x = 604,037,377.37/17,842.78
  6. Step 6: Final answer
    x = 33,853.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.