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Finding the Third Proportional to 20,023 and 41,360

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Solution

The third proportional to 20,023 and 41,360 is: 85,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,023 : 41,360 = 41,360 : x
  2. Step 2: Convert to fraction form
    20,023/41,360 = 41,360/x
  3. Step 3: Cross multiply
    20,023x = 41,360 × 41,360
  4. Step 4: Simplify right side
    20,023x = 1,710,649,600
  5. Step 5: Solve for x
    x = 1,710,649,600/20,023
  6. Step 6: Final answer
    x = 85,434.23

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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.