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Finding the Third Proportional to 23,411 and 43,501

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Solution

The third proportional to 23,411 and 43,501 is: 80,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,411 : 43,501 = 43,501 : x
  2. Step 2: Convert to fraction form
    23,411/43,501 = 43,501/x
  3. Step 3: Cross multiply
    23,411x = 43,501 × 43,501
  4. Step 4: Simplify right side
    23,411x = 1,892,337,001
  5. Step 5: Solve for x
    x = 1,892,337,001/23,411
  6. Step 6: Final answer
    x = 80,831.11

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.