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Finding the Third Proportional to 29,208 and 41,619

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Solution

The third proportional to 29,208 and 41,619 is: 59,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,208 : 41,619 = 41,619 : x
  2. Step 2: Convert to fraction form
    29,208/41,619 = 41,619/x
  3. Step 3: Cross multiply
    29,208x = 41,619 × 41,619
  4. Step 4: Simplify right side
    29,208x = 1,732,141,161
  5. Step 5: Solve for x
    x = 1,732,141,161/29,208
  6. Step 6: Final answer
    x = 59,303.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.