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Finding the Third Proportional to 24,550 and 53,878

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Solution

The third proportional to 24,550 and 53,878 is: 118,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,550 : 53,878 = 53,878 : x
  2. Step 2: Convert to fraction form
    24,550/53,878 = 53,878/x
  3. Step 3: Cross multiply
    24,550x = 53,878 × 53,878
  4. Step 4: Simplify right side
    24,550x = 2,902,838,884
  5. Step 5: Solve for x
    x = 2,902,838,884/24,550
  6. Step 6: Final answer
    x = 118,241.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.