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Finding the Third Proportional to 37,235 and 81,382

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Solution

The third proportional to 37,235 and 81,382 is: 177,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,235 : 81,382 = 81,382 : x
  2. Step 2: Convert to fraction form
    37,235/81,382 = 81,382/x
  3. Step 3: Cross multiply
    37,235x = 81,382 × 81,382
  4. Step 4: Simplify right side
    37,235x = 6,623,029,924
  5. Step 5: Solve for x
    x = 6,623,029,924/37,235
  6. Step 6: Final answer
    x = 177,871.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.