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Finding the Third Proportional to 12,950 and 28,522

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Solution

The third proportional to 12,950 and 28,522 is: 62,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950 : 28,522 = 28,522 : x
  2. Step 2: Convert to fraction form
    12,950/28,522 = 28,522/x
  3. Step 3: Cross multiply
    12,950x = 28,522 × 28,522
  4. Step 4: Simplify right side
    12,950x = 813,504,484
  5. Step 5: Solve for x
    x = 813,504,484/12,950
  6. Step 6: Final answer
    x = 62,818.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.