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Finding the Third Proportional to 11,948 and 25,321

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Solution

The third proportional to 11,948 and 25,321 is: 53,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948 : 25,321 = 25,321 : x
  2. Step 2: Convert to fraction form
    11,948/25,321 = 25,321/x
  3. Step 3: Cross multiply
    11,948x = 25,321 × 25,321
  4. Step 4: Simplify right side
    11,948x = 641,153,041
  5. Step 5: Solve for x
    x = 641,153,041/11,948
  6. Step 6: Final answer
    x = 53,661.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.