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Finding the Third Proportional to 23,044 and 47,720

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Solution

The third proportional to 23,044 and 47,720 is: 98,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,044 : 47,720 = 47,720 : x
  2. Step 2: Convert to fraction form
    23,044/47,720 = 47,720/x
  3. Step 3: Cross multiply
    23,044x = 47,720 × 47,720
  4. Step 4: Simplify right side
    23,044x = 2,277,198,400
  5. Step 5: Solve for x
    x = 2,277,198,400/23,044
  6. Step 6: Final answer
    x = 98,819.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.