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Finding the Third Proportional to 45,962 and 67,483

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Solution

The third proportional to 45,962 and 67,483 is: 99,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,962 : 67,483 = 67,483 : x
  2. Step 2: Convert to fraction form
    45,962/67,483 = 67,483/x
  3. Step 3: Cross multiply
    45,962x = 67,483 × 67,483
  4. Step 4: Simplify right side
    45,962x = 4,553,955,289
  5. Step 5: Solve for x
    x = 4,553,955,289/45,962
  6. Step 6: Final answer
    x = 99,080.88

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