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Finding the Third Proportional to 10,653 and 23,165

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Solution

The third proportional to 10,653 and 23,165 is: 50,372.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,653 : 23,165 = 23,165 : x
  2. Step 2: Convert to fraction form
    10,653/23,165 = 23,165/x
  3. Step 3: Cross multiply
    10,653x = 23,165 × 23,165
  4. Step 4: Simplify right side
    10,653x = 536,617,225
  5. Step 5: Solve for x
    x = 536,617,225/10,653
  6. Step 6: Final answer
    x = 50,372.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.