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Finding the Third Proportional to 25,786 and 34,791

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Solution

The third proportional to 25,786 and 34,791 is: 46,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,786 : 34,791 = 34,791 : x
  2. Step 2: Convert to fraction form
    25,786/34,791 = 34,791/x
  3. Step 3: Cross multiply
    25,786x = 34,791 × 34,791
  4. Step 4: Simplify right side
    25,786x = 1,210,413,681
  5. Step 5: Solve for x
    x = 1,210,413,681/25,786
  6. Step 6: Final answer
    x = 46,940.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.