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Finding the Third Proportional to 22,400 and 46,642

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Solution

The third proportional to 22,400 and 46,642 is: 97,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,400 : 46,642 = 46,642 : x
  2. Step 2: Convert to fraction form
    22,400/46,642 = 46,642/x
  3. Step 3: Cross multiply
    22,400x = 46,642 × 46,642
  4. Step 4: Simplify right side
    22,400x = 2,175,476,164
  5. Step 5: Solve for x
    x = 2,175,476,164/22,400
  6. Step 6: Final answer
    x = 97,119.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.