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Finding the Third Proportional to 11,272.50 and 26,094

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Solution

The third proportional to 11,272.50 and 26,094 is: 60,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,272.50 : 26,094 = 26,094 : x
  2. Step 2: Convert to fraction form
    11,272.50/26,094 = 26,094/x
  3. Step 3: Cross multiply
    11,272.50x = 26,094 × 26,094
  4. Step 4: Simplify right side
    11,272.50x = 680,896,836
  5. Step 5: Solve for x
    x = 680,896,836/11,272.50
  6. Step 6: Final answer
    x = 60,403.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.