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Finding the Third Proportional to 17,562 and 41,455.88

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Solution

The third proportional to 17,562 and 41,455.88 is: 97,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,562 : 41,455.88 = 41,455.88 : x
  2. Step 2: Convert to fraction form
    17,562/41,455.88 = 41,455.88/x
  3. Step 3: Cross multiply
    17,562x = 41,455.88 × 41,455.88
  4. Step 4: Simplify right side
    17,562x = 1,718,589,572.02
  5. Step 5: Solve for x
    x = 1,718,589,572.02/17,562
  6. Step 6: Final answer
    x = 97,858.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.