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Finding the Third Proportional to 37,063 and 54,358

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Solution

The third proportional to 37,063 and 54,358 is: 79,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,063 : 54,358 = 54,358 : x
  2. Step 2: Convert to fraction form
    37,063/54,358 = 54,358/x
  3. Step 3: Cross multiply
    37,063x = 54,358 × 54,358
  4. Step 4: Simplify right side
    37,063x = 2,954,792,164
  5. Step 5: Solve for x
    x = 2,954,792,164/37,063
  6. Step 6: Final answer
    x = 79,723.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.