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Finding the Third Proportional to 11,999 and 26,261

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Solution

The third proportional to 11,999 and 26,261 is: 57,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999 : 26,261 = 26,261 : x
  2. Step 2: Convert to fraction form
    11,999/26,261 = 26,261/x
  3. Step 3: Cross multiply
    11,999x = 26,261 × 26,261
  4. Step 4: Simplify right side
    11,999x = 689,640,121
  5. Step 5: Solve for x
    x = 689,640,121/11,999
  6. Step 6: Final answer
    x = 57,474.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.