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Finding the Third Proportional to 10,962 and 25,905

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Solution

The third proportional to 10,962 and 25,905 is: 61,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962 : 25,905 = 25,905 : x
  2. Step 2: Convert to fraction form
    10,962/25,905 = 25,905/x
  3. Step 3: Cross multiply
    10,962x = 25,905 × 25,905
  4. Step 4: Simplify right side
    10,962x = 671,069,025
  5. Step 5: Solve for x
    x = 671,069,025/10,962
  6. Step 6: Final answer
    x = 61,217.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.