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Finding the Third Proportional to 11,294 and 26,383

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Solution

The third proportional to 11,294 and 26,383 is: 61,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294 : 26,383 = 26,383 : x
  2. Step 2: Convert to fraction form
    11,294/26,383 = 26,383/x
  3. Step 3: Cross multiply
    11,294x = 26,383 × 26,383
  4. Step 4: Simplify right side
    11,294x = 696,062,689
  5. Step 5: Solve for x
    x = 696,062,689/11,294
  6. Step 6: Final answer
    x = 61,631.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.