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Finding the Third Proportional to 29,222 and 63,912

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Solution

The third proportional to 29,222 and 63,912 is: 139,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,222 : 63,912 = 63,912 : x
  2. Step 2: Convert to fraction form
    29,222/63,912 = 63,912/x
  3. Step 3: Cross multiply
    29,222x = 63,912 × 63,912
  4. Step 4: Simplify right side
    29,222x = 4,084,743,744
  5. Step 5: Solve for x
    x = 4,084,743,744/29,222
  6. Step 6: Final answer
    x = 139,783.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.