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Finding the Third Proportional to 28,622 and 61,477

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Solution

The third proportional to 28,622 and 61,477 is: 132,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,622 : 61,477 = 61,477 : x
  2. Step 2: Convert to fraction form
    28,622/61,477 = 61,477/x
  3. Step 3: Cross multiply
    28,622x = 61,477 × 61,477
  4. Step 4: Simplify right side
    28,622x = 3,779,421,529
  5. Step 5: Solve for x
    x = 3,779,421,529/28,622
  6. Step 6: Final answer
    x = 132,046.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.