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Finding the Third Proportional to 22,683 and 49,017

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Solution

The third proportional to 22,683 and 49,017 is: 105,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683 : 49,017 = 49,017 : x
  2. Step 2: Convert to fraction form
    22,683/49,017 = 49,017/x
  3. Step 3: Cross multiply
    22,683x = 49,017 × 49,017
  4. Step 4: Simplify right side
    22,683x = 2,402,666,289
  5. Step 5: Solve for x
    x = 2,402,666,289/22,683
  6. Step 6: Final answer
    x = 105,923.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.