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Finding the Third Proportional to 31,090 and 49,444

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Solution

The third proportional to 31,090 and 49,444 is: 78,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090 : 49,444 = 49,444 : x
  2. Step 2: Convert to fraction form
    31,090/49,444 = 49,444/x
  3. Step 3: Cross multiply
    31,090x = 49,444 × 49,444
  4. Step 4: Simplify right side
    31,090x = 2,444,709,136
  5. Step 5: Solve for x
    x = 2,444,709,136/31,090
  6. Step 6: Final answer
    x = 78,633.29

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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.