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Finding the Third Proportional to 22,572 and 52,026

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Solution

The third proportional to 22,572 and 52,026 is: 119,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,572 : 52,026 = 52,026 : x
  2. Step 2: Convert to fraction form
    22,572/52,026 = 52,026/x
  3. Step 3: Cross multiply
    22,572x = 52,026 × 52,026
  4. Step 4: Simplify right side
    22,572x = 2,706,704,676
  5. Step 5: Solve for x
    x = 2,706,704,676/22,572
  6. Step 6: Final answer
    x = 119,914.26

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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.