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Finding the Third Proportional to 22,968 and 35,110

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Solution

The third proportional to 22,968 and 35,110 is: 53,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968 : 35,110 = 35,110 : x
  2. Step 2: Convert to fraction form
    22,968/35,110 = 35,110/x
  3. Step 3: Cross multiply
    22,968x = 35,110 × 35,110
  4. Step 4: Simplify right side
    22,968x = 1,232,712,100
  5. Step 5: Solve for x
    x = 1,232,712,100/22,968
  6. Step 6: Final answer
    x = 53,670.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.