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Finding the Third Proportional to 25,092 and 36,814

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Solution

The third proportional to 25,092 and 36,814 is: 54,012.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,092 : 36,814 = 36,814 : x
  2. Step 2: Convert to fraction form
    25,092/36,814 = 36,814/x
  3. Step 3: Cross multiply
    25,092x = 36,814 × 36,814
  4. Step 4: Simplify right side
    25,092x = 1,355,270,596
  5. Step 5: Solve for x
    x = 1,355,270,596/25,092
  6. Step 6: Final answer
    x = 54,012.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.