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Finding the Third Proportional to 33,581 and 51,348

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Solution

The third proportional to 33,581 and 51,348 is: 78,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,581 : 51,348 = 51,348 : x
  2. Step 2: Convert to fraction form
    33,581/51,348 = 51,348/x
  3. Step 3: Cross multiply
    33,581x = 51,348 × 51,348
  4. Step 4: Simplify right side
    33,581x = 2,636,617,104
  5. Step 5: Solve for x
    x = 2,636,617,104/33,581
  6. Step 6: Final answer
    x = 78,515.15

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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.