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Finding the Third Proportional to 14,361.47 and 20,684.95

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Solution

The third proportional to 14,361.47 and 20,684.95 is: 29,792.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,361.47 : 20,684.95 = 20,684.95 : x
  2. Step 2: Convert to fraction form
    14,361.47/20,684.95 = 20,684.95/x
  3. Step 3: Cross multiply
    14,361.47x = 20,684.95 × 20,684.95
  4. Step 4: Simplify right side
    14,361.47x = 427,867,285.78
  5. Step 5: Solve for x
    x = 427,867,285.78/14,361.47
  6. Step 6: Final answer
    x = 29,792.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.