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Finding the Third Proportional to 10,962 and 23,653.69

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Solution

The third proportional to 10,962 and 23,653.69 is: 51,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962 : 23,653.69 = 23,653.69 : x
  2. Step 2: Convert to fraction form
    10,962/23,653.69 = 23,653.69/x
  3. Step 3: Cross multiply
    10,962x = 23,653.69 × 23,653.69
  4. Step 4: Simplify right side
    10,962x = 559,496,932.35
  5. Step 5: Solve for x
    x = 559,496,932.35/10,962
  6. Step 6: Final answer
    x = 51,039.68

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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.