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Finding the Third Proportional to 25,864 and 40,044

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Solution

The third proportional to 25,864 and 40,044 is: 61,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,864 : 40,044 = 40,044 : x
  2. Step 2: Convert to fraction form
    25,864/40,044 = 40,044/x
  3. Step 3: Cross multiply
    25,864x = 40,044 × 40,044
  4. Step 4: Simplify right side
    25,864x = 1,603,521,936
  5. Step 5: Solve for x
    x = 1,603,521,936/25,864
  6. Step 6: Final answer
    x = 61,998.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.