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Finding the Third Proportional to 37,704 and 55,410

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Solution

The third proportional to 37,704 and 55,410 is: 81,430.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,704 : 55,410 = 55,410 : x
  2. Step 2: Convert to fraction form
    37,704/55,410 = 55,410/x
  3. Step 3: Cross multiply
    37,704x = 55,410 × 55,410
  4. Step 4: Simplify right side
    37,704x = 3,070,268,100
  5. Step 5: Solve for x
    x = 3,070,268,100/37,704
  6. Step 6: Final answer
    x = 81,430.83

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Why These Related Problems?

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