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Finding the Third Proportional to 31,089 and 49,443

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Solution

The third proportional to 31,089 and 49,443 is: 78,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,089 : 49,443 = 49,443 : x
  2. Step 2: Convert to fraction form
    31,089/49,443 = 49,443/x
  3. Step 3: Cross multiply
    31,089x = 49,443 × 49,443
  4. Step 4: Simplify right side
    31,089x = 2,444,610,249
  5. Step 5: Solve for x
    x = 2,444,610,249/31,089
  6. Step 6: Final answer
    x = 78,632.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.