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Finding the Third Proportional to 23,854 and 53,894

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Solution

The third proportional to 23,854 and 53,894 is: 121,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854 : 53,894 = 53,894 : x
  2. Step 2: Convert to fraction form
    23,854/53,894 = 53,894/x
  3. Step 3: Cross multiply
    23,854x = 53,894 × 53,894
  4. Step 4: Simplify right side
    23,854x = 2,904,563,236
  5. Step 5: Solve for x
    x = 2,904,563,236/23,854
  6. Step 6: Final answer
    x = 121,764.20

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.