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Finding the Third Proportional to 37,348 and 57,833

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Solution

The third proportional to 37,348 and 57,833 is: 89,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,348 : 57,833 = 57,833 : x
  2. Step 2: Convert to fraction form
    37,348/57,833 = 57,833/x
  3. Step 3: Cross multiply
    37,348x = 57,833 × 57,833
  4. Step 4: Simplify right side
    37,348x = 3,344,655,889
  5. Step 5: Solve for x
    x = 3,344,655,889/37,348
  6. Step 6: Final answer
    x = 89,553.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.