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Finding the Third Proportional to 23,915 and 55,850

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Solution

The third proportional to 23,915 and 55,850 is: 130,429.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,915 : 55,850 = 55,850 : x
  2. Step 2: Convert to fraction form
    23,915/55,850 = 55,850/x
  3. Step 3: Cross multiply
    23,915x = 55,850 × 55,850
  4. Step 4: Simplify right side
    23,915x = 3,119,222,500
  5. Step 5: Solve for x
    x = 3,119,222,500/23,915
  6. Step 6: Final answer
    x = 130,429.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.