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Finding the Third Proportional to 23,208 and 47,645

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Solution

The third proportional to 23,208 and 47,645 is: 97,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,208 : 47,645 = 47,645 : x
  2. Step 2: Convert to fraction form
    23,208/47,645 = 47,645/x
  3. Step 3: Cross multiply
    23,208x = 47,645 × 47,645
  4. Step 4: Simplify right side
    23,208x = 2,270,046,025
  5. Step 5: Solve for x
    x = 2,270,046,025/23,208
  6. Step 6: Final answer
    x = 97,813.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.