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Finding the Third Proportional to 23,903 and 52,572

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Solution

The third proportional to 23,903 and 52,572 is: 115,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,903 : 52,572 = 52,572 : x
  2. Step 2: Convert to fraction form
    23,903/52,572 = 52,572/x
  3. Step 3: Cross multiply
    23,903x = 52,572 × 52,572
  4. Step 4: Simplify right side
    23,903x = 2,763,815,184
  5. Step 5: Solve for x
    x = 2,763,815,184/23,903
  6. Step 6: Final answer
    x = 115,626.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.