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Finding the Third Proportional to 11,309 and 26,264

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Solution

The third proportional to 11,309 and 26,264 is: 60,995.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309 : 26,264 = 26,264 : x
  2. Step 2: Convert to fraction form
    11,309/26,264 = 26,264/x
  3. Step 3: Cross multiply
    11,309x = 26,264 × 26,264
  4. Step 4: Simplify right side
    11,309x = 689,797,696
  5. Step 5: Solve for x
    x = 689,797,696/11,309
  6. Step 6: Final answer
    x = 60,995.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.