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Finding the Third Proportional to 23,952 and 52,050

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Solution

The third proportional to 23,952 and 52,050 is: 113,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952 : 52,050 = 52,050 : x
  2. Step 2: Convert to fraction form
    23,952/52,050 = 52,050/x
  3. Step 3: Cross multiply
    23,952x = 52,050 × 52,050
  4. Step 4: Simplify right side
    23,952x = 2,709,202,500
  5. Step 5: Solve for x
    x = 2,709,202,500/23,952
  6. Step 6: Final answer
    x = 113,109.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.