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Finding the Third Proportional to 30,366 and 70,926

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Solution

The third proportional to 30,366 and 70,926 is: 165,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,366 : 70,926 = 70,926 : x
  2. Step 2: Convert to fraction form
    30,366/70,926 = 70,926/x
  3. Step 3: Cross multiply
    30,366x = 70,926 × 70,926
  4. Step 4: Simplify right side
    30,366x = 5,030,497,476
  5. Step 5: Solve for x
    x = 5,030,497,476/30,366
  6. Step 6: Final answer
    x = 165,662.17

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.