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Finding the Third Proportional to 22,920 and 35,720

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Solution

The third proportional to 22,920 and 35,720 is: 55,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,920 : 35,720 = 35,720 : x
  2. Step 2: Convert to fraction form
    22,920/35,720 = 35,720/x
  3. Step 3: Cross multiply
    22,920x = 35,720 × 35,720
  4. Step 4: Simplify right side
    22,920x = 1,275,918,400
  5. Step 5: Solve for x
    x = 1,275,918,400/22,920
  6. Step 6: Final answer
    x = 55,668.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.