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Finding the Third Proportional to 23,392 and 54,724

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Solution

The third proportional to 23,392 and 54,724 is: 128,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,392 : 54,724 = 54,724 : x
  2. Step 2: Convert to fraction form
    23,392/54,724 = 54,724/x
  3. Step 3: Cross multiply
    23,392x = 54,724 × 54,724
  4. Step 4: Simplify right side
    23,392x = 2,994,716,176
  5. Step 5: Solve for x
    x = 2,994,716,176/23,392
  6. Step 6: Final answer
    x = 128,023.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.