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Finding the Third Proportional to 23,607 and 50,722.38

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Solution

The third proportional to 23,607 and 50,722.38 is: 108,982.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,607 : 50,722.38 = 50,722.38 : x
  2. Step 2: Convert to fraction form
    23,607/50,722.38 = 50,722.38/x
  3. Step 3: Cross multiply
    23,607x = 50,722.38 × 50,722.38
  4. Step 4: Simplify right side
    23,607x = 2,572,759,325.64
  5. Step 5: Solve for x
    x = 2,572,759,325.64/23,607
  6. Step 6: Final answer
    x = 108,982.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.