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Finding the Third Proportional to 49,827 and 74,031

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Solution

The third proportional to 49,827 and 74,031 is: 109,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,827 : 74,031 = 74,031 : x
  2. Step 2: Convert to fraction form
    49,827/74,031 = 74,031/x
  3. Step 3: Cross multiply
    49,827x = 74,031 × 74,031
  4. Step 4: Simplify right side
    49,827x = 5,480,588,961
  5. Step 5: Solve for x
    x = 5,480,588,961/49,827
  6. Step 6: Final answer
    x = 109,992.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.