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Finding the Third Proportional to 26,802 and 62,318

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Solution

The third proportional to 26,802 and 62,318 is: 144,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,802 : 62,318 = 62,318 : x
  2. Step 2: Convert to fraction form
    26,802/62,318 = 62,318/x
  3. Step 3: Cross multiply
    26,802x = 62,318 × 62,318
  4. Step 4: Simplify right side
    26,802x = 3,883,533,124
  5. Step 5: Solve for x
    x = 3,883,533,124/26,802
  6. Step 6: Final answer
    x = 144,897.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.