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Finding the Third Proportional to 16,242.75 and 25,842.38

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Solution

The third proportional to 16,242.75 and 25,842.38 is: 41,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.75 : 25,842.38 = 25,842.38 : x
  2. Step 2: Convert to fraction form
    16,242.75/25,842.38 = 25,842.38/x
  3. Step 3: Cross multiply
    16,242.75x = 25,842.38 × 25,842.38
  4. Step 4: Simplify right side
    16,242.75x = 667,828,345.64
  5. Step 5: Solve for x
    x = 667,828,345.64/16,242.75
  6. Step 6: Final answer
    x = 41,115.47

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.