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Finding the Third Proportional to 14,845 and 23,671.50

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Solution

The third proportional to 14,845 and 23,671.50 is: 37,746.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,845 : 23,671.50 = 23,671.50 : x
  2. Step 2: Convert to fraction form
    14,845/23,671.50 = 23,671.50/x
  3. Step 3: Cross multiply
    14,845x = 23,671.50 × 23,671.50
  4. Step 4: Simplify right side
    14,845x = 560,339,912.25
  5. Step 5: Solve for x
    x = 560,339,912.25/14,845
  6. Step 6: Final answer
    x = 37,746.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.