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Finding the Third Proportional to 30,522 and 64,325

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Solution

The third proportional to 30,522 and 64,325 is: 135,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522 : 64,325 = 64,325 : x
  2. Step 2: Convert to fraction form
    30,522/64,325 = 64,325/x
  3. Step 3: Cross multiply
    30,522x = 64,325 × 64,325
  4. Step 4: Simplify right side
    30,522x = 4,137,705,625
  5. Step 5: Solve for x
    x = 4,137,705,625/30,522
  6. Step 6: Final answer
    x = 135,564.70

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.