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Finding the Third Proportional to 25,922.75 and 60,702.75

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Solution

The third proportional to 25,922.75 and 60,702.75 is: 142,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,922.75 : 60,702.75 = 60,702.75 : x
  2. Step 2: Convert to fraction form
    25,922.75/60,702.75 = 60,702.75/x
  3. Step 3: Cross multiply
    25,922.75x = 60,702.75 × 60,702.75
  4. Step 4: Simplify right side
    25,922.75x = 3,684,823,857.56
  5. Step 5: Solve for x
    x = 3,684,823,857.56/25,922.75
  6. Step 6: Final answer
    x = 142,146.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.