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Finding the Third Proportional to 25,622 and 34,537

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Solution

The third proportional to 25,622 and 34,537 is: 46,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622 : 34,537 = 34,537 : x
  2. Step 2: Convert to fraction form
    25,622/34,537 = 34,537/x
  3. Step 3: Cross multiply
    25,622x = 34,537 × 34,537
  4. Step 4: Simplify right side
    25,622x = 1,192,804,369
  5. Step 5: Solve for x
    x = 1,192,804,369/25,622
  6. Step 6: Final answer
    x = 46,553.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.