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Finding the Third Proportional to 22,774 and 49,291

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Solution

The third proportional to 22,774 and 49,291 is: 106,683.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774 : 49,291 = 49,291 : x
  2. Step 2: Convert to fraction form
    22,774/49,291 = 49,291/x
  3. Step 3: Cross multiply
    22,774x = 49,291 × 49,291
  4. Step 4: Simplify right side
    22,774x = 2,429,602,681
  5. Step 5: Solve for x
    x = 2,429,602,681/22,774
  6. Step 6: Final answer
    x = 106,683.18

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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.