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Finding the Third Proportional to 37,944.50 and 58,628

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Solution

The third proportional to 37,944.50 and 58,628 is: 90,586.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,944.50 : 58,628 = 58,628 : x
  2. Step 2: Convert to fraction form
    37,944.50/58,628 = 58,628/x
  3. Step 3: Cross multiply
    37,944.50x = 58,628 × 58,628
  4. Step 4: Simplify right side
    37,944.50x = 3,437,242,384
  5. Step 5: Solve for x
    x = 3,437,242,384/37,944.50
  6. Step 6: Final answer
    x = 90,586.05

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