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Finding the Third Proportional to 37,598 and 58,125

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Solution

The third proportional to 37,598 and 58,125 is: 89,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,598 : 58,125 = 58,125 : x
  2. Step 2: Convert to fraction form
    37,598/58,125 = 58,125/x
  3. Step 3: Cross multiply
    37,598x = 58,125 × 58,125
  4. Step 4: Simplify right side
    37,598x = 3,378,515,625
  5. Step 5: Solve for x
    x = 3,378,515,625/37,598
  6. Step 6: Final answer
    x = 89,858.92

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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.