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Finding the Third Proportional to 10,925 and 23,699

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Solution

The third proportional to 10,925 and 23,699 is: 51,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925 : 23,699 = 23,699 : x
  2. Step 2: Convert to fraction form
    10,925/23,699 = 23,699/x
  3. Step 3: Cross multiply
    10,925x = 23,699 × 23,699
  4. Step 4: Simplify right side
    10,925x = 561,642,601
  5. Step 5: Solve for x
    x = 561,642,601/10,925
  6. Step 6: Final answer
    x = 51,408.93

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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.