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Finding the Third Proportional to 45,927 and 51,121.13

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Solution

The third proportional to 45,927 and 51,121.13 is: 56,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,927 : 51,121.13 = 51,121.13 : x
  2. Step 2: Convert to fraction form
    45,927/51,121.13 = 51,121.13/x
  3. Step 3: Cross multiply
    45,927x = 51,121.13 × 51,121.13
  4. Step 4: Simplify right side
    45,927x = 2,613,369,421.27
  5. Step 5: Solve for x
    x = 2,613,369,421.27/45,927
  6. Step 6: Final answer
    x = 56,902.68

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.