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Finding the Third Proportional to 22,562 and 52,001

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Solution

The third proportional to 22,562 and 52,001 is: 119,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,562 : 52,001 = 52,001 : x
  2. Step 2: Convert to fraction form
    22,562/52,001 = 52,001/x
  3. Step 3: Cross multiply
    22,562x = 52,001 × 52,001
  4. Step 4: Simplify right side
    22,562x = 2,704,104,001
  5. Step 5: Solve for x
    x = 2,704,104,001/22,562
  6. Step 6: Final answer
    x = 119,852.14

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.