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Finding the Third Proportional to 37,346 and 57,855

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Solution

The third proportional to 37,346 and 57,855 is: 89,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,346 : 57,855 = 57,855 : x
  2. Step 2: Convert to fraction form
    37,346/57,855 = 57,855/x
  3. Step 3: Cross multiply
    37,346x = 57,855 × 57,855
  4. Step 4: Simplify right side
    37,346x = 3,347,201,025
  5. Step 5: Solve for x
    x = 3,347,201,025/37,346
  6. Step 6: Final answer
    x = 89,626.76

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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.