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Finding the Third Proportional to 29,568 and 64,110

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Solution

The third proportional to 29,568 and 64,110 is: 139,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,568 : 64,110 = 64,110 : x
  2. Step 2: Convert to fraction form
    29,568/64,110 = 64,110/x
  3. Step 3: Cross multiply
    29,568x = 64,110 × 64,110
  4. Step 4: Simplify right side
    29,568x = 4,110,092,100
  5. Step 5: Solve for x
    x = 4,110,092,100/29,568
  6. Step 6: Final answer
    x = 139,004.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.