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Finding the Third Proportional to 30,314 and 63,544

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Solution

The third proportional to 30,314 and 63,544 is: 133,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314 : 63,544 = 63,544 : x
  2. Step 2: Convert to fraction form
    30,314/63,544 = 63,544/x
  3. Step 3: Cross multiply
    30,314x = 63,544 × 63,544
  4. Step 4: Simplify right side
    30,314x = 4,037,839,936
  5. Step 5: Solve for x
    x = 4,037,839,936/30,314
  6. Step 6: Final answer
    x = 133,200.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.