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Finding the Third Proportional to 24,929 and 54,232

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Solution

The third proportional to 24,929 and 54,232 is: 117,979.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,929 : 54,232 = 54,232 : x
  2. Step 2: Convert to fraction form
    24,929/54,232 = 54,232/x
  3. Step 3: Cross multiply
    24,929x = 54,232 × 54,232
  4. Step 4: Simplify right side
    24,929x = 2,941,109,824
  5. Step 5: Solve for x
    x = 2,941,109,824/24,929
  6. Step 6: Final answer
    x = 117,979.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.