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Finding the Third Proportional to 23,070 and 50,447

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Solution

The third proportional to 23,070 and 50,447 is: 110,312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070 : 50,447 = 50,447 : x
  2. Step 2: Convert to fraction form
    23,070/50,447 = 50,447/x
  3. Step 3: Cross multiply
    23,070x = 50,447 × 50,447
  4. Step 4: Simplify right side
    23,070x = 2,544,899,809
  5. Step 5: Solve for x
    x = 2,544,899,809/23,070
  6. Step 6: Final answer
    x = 110,312.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.