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Finding the Third Proportional to 30,563 and 66,274

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Solution

The third proportional to 30,563 and 66,274 is: 143,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,563 : 66,274 = 66,274 : x
  2. Step 2: Convert to fraction form
    30,563/66,274 = 66,274/x
  3. Step 3: Cross multiply
    30,563x = 66,274 × 66,274
  4. Step 4: Simplify right side
    30,563x = 4,392,243,076
  5. Step 5: Solve for x
    x = 4,392,243,076/30,563
  6. Step 6: Final answer
    x = 143,711.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.