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Finding the Third Proportional to 37,664.88 and 51,153.70

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Solution

The third proportional to 37,664.88 and 51,153.70 is: 69,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664.88 : 51,153.70 = 51,153.70 : x
  2. Step 2: Convert to fraction form
    37,664.88/51,153.70 = 51,153.70/x
  3. Step 3: Cross multiply
    37,664.88x = 51,153.70 × 51,153.70
  4. Step 4: Simplify right side
    37,664.88x = 2,616,700,519.15
  5. Step 5: Solve for x
    x = 2,616,700,519.15/37,664.88
  6. Step 6: Final answer
    x = 69,473.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.