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Finding the Third Proportional to 11,270 and 26,089

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Solution

The third proportional to 11,270 and 26,089 is: 60,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270 : 26,089 = 26,089 : x
  2. Step 2: Convert to fraction form
    11,270/26,089 = 26,089/x
  3. Step 3: Cross multiply
    11,270x = 26,089 × 26,089
  4. Step 4: Simplify right side
    11,270x = 680,635,921
  5. Step 5: Solve for x
    x = 680,635,921/11,270
  6. Step 6: Final answer
    x = 60,393.60

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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.