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Finding the Third Proportional to 23,854 and 47,106

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Solution

The third proportional to 23,854 and 47,106 is: 93,023.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854 : 47,106 = 47,106 : x
  2. Step 2: Convert to fraction form
    23,854/47,106 = 47,106/x
  3. Step 3: Cross multiply
    23,854x = 47,106 × 47,106
  4. Step 4: Simplify right side
    23,854x = 2,218,975,236
  5. Step 5: Solve for x
    x = 2,218,975,236/23,854
  6. Step 6: Final answer
    x = 93,023.19

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.