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Finding the Third Proportional to 10,795 and 23,592

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Solution

The third proportional to 10,795 and 23,592 is: 51,559.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795 : 23,592 = 23,592 : x
  2. Step 2: Convert to fraction form
    10,795/23,592 = 23,592/x
  3. Step 3: Cross multiply
    10,795x = 23,592 × 23,592
  4. Step 4: Simplify right side
    10,795x = 556,582,464
  5. Step 5: Solve for x
    x = 556,582,464/10,795
  6. Step 6: Final answer
    x = 51,559.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.