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Finding the Third Proportional to 31,206 and 49,623

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Solution

The third proportional to 31,206 and 49,623 is: 78,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206 : 49,623 = 49,623 : x
  2. Step 2: Convert to fraction form
    31,206/49,623 = 49,623/x
  3. Step 3: Cross multiply
    31,206x = 49,623 × 49,623
  4. Step 4: Simplify right side
    31,206x = 2,462,442,129
  5. Step 5: Solve for x
    x = 2,462,442,129/31,206
  6. Step 6: Final answer
    x = 78,909.25

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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.