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Finding the Third Proportional to 23,154 and 47,400

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Solution

The third proportional to 23,154 and 47,400 is: 97,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154 : 47,400 = 47,400 : x
  2. Step 2: Convert to fraction form
    23,154/47,400 = 47,400/x
  3. Step 3: Cross multiply
    23,154x = 47,400 × 47,400
  4. Step 4: Simplify right side
    23,154x = 2,246,760,000
  5. Step 5: Solve for x
    x = 2,246,760,000/23,154
  6. Step 6: Final answer
    x = 97,035.50

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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.