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Finding the Third Proportional to 37,524.50 and 59,419

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Solution

The third proportional to 37,524.50 and 59,419 is: 94,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,524.50 : 59,419 = 59,419 : x
  2. Step 2: Convert to fraction form
    37,524.50/59,419 = 59,419/x
  3. Step 3: Cross multiply
    37,524.50x = 59,419 × 59,419
  4. Step 4: Simplify right side
    37,524.50x = 3,530,617,561
  5. Step 5: Solve for x
    x = 3,530,617,561/37,524.50
  6. Step 6: Final answer
    x = 94,088.33

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.