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Finding the Third Proportional to 11,078 and 24,340

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Solution

The third proportional to 11,078 and 24,340 is: 53,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078 : 24,340 = 24,340 : x
  2. Step 2: Convert to fraction form
    11,078/24,340 = 24,340/x
  3. Step 3: Cross multiply
    11,078x = 24,340 × 24,340
  4. Step 4: Simplify right side
    11,078x = 592,435,600
  5. Step 5: Solve for x
    x = 592,435,600/11,078
  6. Step 6: Final answer
    x = 53,478.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.