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Finding the Third Proportional to 25,435 and 56,042

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Solution

The third proportional to 25,435 and 56,042 is: 123,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435 : 56,042 = 56,042 : x
  2. Step 2: Convert to fraction form
    25,435/56,042 = 56,042/x
  3. Step 3: Cross multiply
    25,435x = 56,042 × 56,042
  4. Step 4: Simplify right side
    25,435x = 3,140,705,764
  5. Step 5: Solve for x
    x = 3,140,705,764/25,435
  6. Step 6: Final answer
    x = 123,479.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.