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Finding the Third Proportional to 26,364 and 62,232

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Solution

The third proportional to 26,364 and 62,232 is: 146,898.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,364 : 62,232 = 62,232 : x
  2. Step 2: Convert to fraction form
    26,364/62,232 = 62,232/x
  3. Step 3: Cross multiply
    26,364x = 62,232 × 62,232
  4. Step 4: Simplify right side
    26,364x = 3,872,821,824
  5. Step 5: Solve for x
    x = 3,872,821,824/26,364
  6. Step 6: Final answer
    x = 146,898.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.