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Finding the Third Proportional to 9,702.25 and 20,950

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Solution

The third proportional to 9,702.25 and 20,950 is: 45,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.25 : 20,950 = 20,950 : x
  2. Step 2: Convert to fraction form
    9,702.25/20,950 = 20,950/x
  3. Step 3: Cross multiply
    9,702.25x = 20,950 × 20,950
  4. Step 4: Simplify right side
    9,702.25x = 438,902,500
  5. Step 5: Solve for x
    x = 438,902,500/9,702.25
  6. Step 6: Final answer
    x = 45,237.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.