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Finding the Third Proportional to 12,350 and 24,078

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Solution

The third proportional to 12,350 and 24,078 is: 46,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350 : 24,078 = 24,078 : x
  2. Step 2: Convert to fraction form
    12,350/24,078 = 24,078/x
  3. Step 3: Cross multiply
    12,350x = 24,078 × 24,078
  4. Step 4: Simplify right side
    12,350x = 579,750,084
  5. Step 5: Solve for x
    x = 579,750,084/12,350
  6. Step 6: Final answer
    x = 46,943.33

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.