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Finding the Third Proportional to 11,360 and 24,074

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Solution

The third proportional to 11,360 and 24,074 is: 51,017.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,360 : 24,074 = 24,074 : x
  2. Step 2: Convert to fraction form
    11,360/24,074 = 24,074/x
  3. Step 3: Cross multiply
    11,360x = 24,074 × 24,074
  4. Step 4: Simplify right side
    11,360x = 579,557,476
  5. Step 5: Solve for x
    x = 579,557,476/11,360
  6. Step 6: Final answer
    x = 51,017.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.