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Finding the Third Proportional to 14,892 and 22,322

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Solution

The third proportional to 14,892 and 22,322 is: 33,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892 : 22,322 = 22,322 : x
  2. Step 2: Convert to fraction form
    14,892/22,322 = 22,322/x
  3. Step 3: Cross multiply
    14,892x = 22,322 × 22,322
  4. Step 4: Simplify right side
    14,892x = 498,271,684
  5. Step 5: Solve for x
    x = 498,271,684/14,892
  6. Step 6: Final answer
    x = 33,459.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.