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Finding the Third Proportional to 23,906 and 52,530

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Solution

The third proportional to 23,906 and 52,530 is: 115,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906 : 52,530 = 52,530 : x
  2. Step 2: Convert to fraction form
    23,906/52,530 = 52,530/x
  3. Step 3: Cross multiply
    23,906x = 52,530 × 52,530
  4. Step 4: Simplify right side
    23,906x = 2,759,400,900
  5. Step 5: Solve for x
    x = 2,759,400,900/23,906
  6. Step 6: Final answer
    x = 115,427.13

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