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Finding the Third Proportional to 10,906 and 23,553

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Solution

The third proportional to 10,906 and 23,553 is: 50,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906 : 23,553 = 23,553 : x
  2. Step 2: Convert to fraction form
    10,906/23,553 = 23,553/x
  3. Step 3: Cross multiply
    10,906x = 23,553 × 23,553
  4. Step 4: Simplify right side
    10,906x = 554,743,809
  5. Step 5: Solve for x
    x = 554,743,809/10,906
  6. Step 6: Final answer
    x = 50,865.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.