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Finding the Third Proportional to 23,209 and 47,647

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Solution

The third proportional to 23,209 and 47,647 is: 97,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209 : 47,647 = 47,647 : x
  2. Step 2: Convert to fraction form
    23,209/47,647 = 47,647/x
  3. Step 3: Cross multiply
    23,209x = 47,647 × 47,647
  4. Step 4: Simplify right side
    23,209x = 2,270,236,609
  5. Step 5: Solve for x
    x = 2,270,236,609/23,209
  6. Step 6: Final answer
    x = 97,817.08

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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.