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Finding the Third Proportional to 33,430 and 51,594

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Solution

The third proportional to 33,430 and 51,594 is: 79,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,430 : 51,594 = 51,594 : x
  2. Step 2: Convert to fraction form
    33,430/51,594 = 51,594/x
  3. Step 3: Cross multiply
    33,430x = 51,594 × 51,594
  4. Step 4: Simplify right side
    33,430x = 2,661,940,836
  5. Step 5: Solve for x
    x = 2,661,940,836/33,430
  6. Step 6: Final answer
    x = 79,627.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.