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Finding the Third Proportional to 23,889 and 47,190

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Solution

The third proportional to 23,889 and 47,190 is: 93,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,889 : 47,190 = 47,190 : x
  2. Step 2: Convert to fraction form
    23,889/47,190 = 47,190/x
  3. Step 3: Cross multiply
    23,889x = 47,190 × 47,190
  4. Step 4: Simplify right side
    23,889x = 2,226,896,100
  5. Step 5: Solve for x
    x = 2,226,896,100/23,889
  6. Step 6: Final answer
    x = 93,218.47

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.