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Finding the Third Proportional to 37,068 and 55,500

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Solution

The third proportional to 37,068 and 55,500 is: 83,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,068 : 55,500 = 55,500 : x
  2. Step 2: Convert to fraction form
    37,068/55,500 = 55,500/x
  3. Step 3: Cross multiply
    37,068x = 55,500 × 55,500
  4. Step 4: Simplify right side
    37,068x = 3,080,250,000
  5. Step 5: Solve for x
    x = 3,080,250,000/37,068
  6. Step 6: Final answer
    x = 83,097.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.