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Finding the Third Proportional to 37,314 and 54,729

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Solution

The third proportional to 37,314 and 54,729 is: 80,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,314 : 54,729 = 54,729 : x
  2. Step 2: Convert to fraction form
    37,314/54,729 = 54,729/x
  3. Step 3: Cross multiply
    37,314x = 54,729 × 54,729
  4. Step 4: Simplify right side
    37,314x = 2,995,263,441
  5. Step 5: Solve for x
    x = 2,995,263,441/37,314
  6. Step 6: Final answer
    x = 80,271.84

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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.