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Finding the Third Proportional to 20,920 and 49,066

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Solution

The third proportional to 20,920 and 49,066 is: 115,079.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920 : 49,066 = 49,066 : x
  2. Step 2: Convert to fraction form
    20,920/49,066 = 49,066/x
  3. Step 3: Cross multiply
    20,920x = 49,066 × 49,066
  4. Step 4: Simplify right side
    20,920x = 2,407,472,356
  5. Step 5: Solve for x
    x = 2,407,472,356/20,920
  6. Step 6: Final answer
    x = 115,079.94

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.