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Finding the Third Proportional to 25,480 and 34,601

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Solution

The third proportional to 25,480 and 34,601 is: 46,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,480 : 34,601 = 34,601 : x
  2. Step 2: Convert to fraction form
    25,480/34,601 = 34,601/x
  3. Step 3: Cross multiply
    25,480x = 34,601 × 34,601
  4. Step 4: Simplify right side
    25,480x = 1,197,229,201
  5. Step 5: Solve for x
    x = 1,197,229,201/25,480
  6. Step 6: Final answer
    x = 46,987.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.