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Finding the Third Proportional to 24,054 and 55,686

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Solution

The third proportional to 24,054 and 55,686 is: 128,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,054 : 55,686 = 55,686 : x
  2. Step 2: Convert to fraction form
    24,054/55,686 = 55,686/x
  3. Step 3: Cross multiply
    24,054x = 55,686 × 55,686
  4. Step 4: Simplify right side
    24,054x = 3,100,930,596
  5. Step 5: Solve for x
    x = 3,100,930,596/24,054
  6. Step 6: Final answer
    x = 128,915.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.