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Finding the Third Proportional to 17,837.75 and 42,184.75

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Solution

The third proportional to 17,837.75 and 42,184.75 is: 99,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.75 : 42,184.75 = 42,184.75 : x
  2. Step 2: Convert to fraction form
    17,837.75/42,184.75 = 42,184.75/x
  3. Step 3: Cross multiply
    17,837.75x = 42,184.75 × 42,184.75
  4. Step 4: Simplify right side
    17,837.75x = 1,779,553,132.56
  5. Step 5: Solve for x
    x = 1,779,553,132.56/17,837.75
  6. Step 6: Final answer
    x = 99,763.32

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