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Finding the Third Proportional to 11,653 and 16,293

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Solution

The third proportional to 11,653 and 16,293 is: 22,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653 : 16,293 = 16,293 : x
  2. Step 2: Convert to fraction form
    11,653/16,293 = 16,293/x
  3. Step 3: Cross multiply
    11,653x = 16,293 × 16,293
  4. Step 4: Simplify right side
    11,653x = 265,461,849
  5. Step 5: Solve for x
    x = 265,461,849/11,653
  6. Step 6: Final answer
    x = 22,780.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.