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Finding the Third Proportional to 23,454 and 41,712

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Solution

The third proportional to 23,454 and 41,712 is: 74,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454 : 41,712 = 41,712 : x
  2. Step 2: Convert to fraction form
    23,454/41,712 = 41,712/x
  3. Step 3: Cross multiply
    23,454x = 41,712 × 41,712
  4. Step 4: Simplify right side
    23,454x = 1,739,890,944
  5. Step 5: Solve for x
    x = 1,739,890,944/23,454
  6. Step 6: Final answer
    x = 74,183.12

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.