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Finding the Third Proportional to 37,579.50 and 58,269

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Solution

The third proportional to 37,579.50 and 58,269 is: 90,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,579.50 : 58,269 = 58,269 : x
  2. Step 2: Convert to fraction form
    37,579.50/58,269 = 58,269/x
  3. Step 3: Cross multiply
    37,579.50x = 58,269 × 58,269
  4. Step 4: Simplify right side
    37,579.50x = 3,395,276,361
  5. Step 5: Solve for x
    x = 3,395,276,361/37,579.50
  6. Step 6: Final answer
    x = 90,349.16

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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.