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Finding the Third Proportional to 37,000.50 and 54,117

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Solution

The third proportional to 37,000.50 and 54,117 is: 79,151.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,000.50 : 54,117 = 54,117 : x
  2. Step 2: Convert to fraction form
    37,000.50/54,117 = 54,117/x
  3. Step 3: Cross multiply
    37,000.50x = 54,117 × 54,117
  4. Step 4: Simplify right side
    37,000.50x = 2,928,649,689
  5. Step 5: Solve for x
    x = 2,928,649,689/37,000.50
  6. Step 6: Final answer
    x = 79,151.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.