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Finding the Third Proportional to 23,340 and 37,119

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Solution

The third proportional to 23,340 and 37,119 is: 59,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,340 : 37,119 = 37,119 : x
  2. Step 2: Convert to fraction form
    23,340/37,119 = 37,119/x
  3. Step 3: Cross multiply
    23,340x = 37,119 × 37,119
  4. Step 4: Simplify right side
    23,340x = 1,377,820,161
  5. Step 5: Solve for x
    x = 1,377,820,161/23,340
  6. Step 6: Final answer
    x = 59,032.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.