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Finding the Third Proportional to 14,894.67 and 20,874.74

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Solution

The third proportional to 14,894.67 and 20,874.74 is: 29,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,894.67 : 20,874.74 = 20,874.74 : x
  2. Step 2: Convert to fraction form
    14,894.67/20,874.74 = 20,874.74/x
  3. Step 3: Cross multiply
    14,894.67x = 20,874.74 × 20,874.74
  4. Step 4: Simplify right side
    14,894.67x = 435,754,942.94
  5. Step 5: Solve for x
    x = 435,754,942.94/14,894.67
  6. Step 6: Final answer
    x = 29,255.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.