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Finding the Third Proportional to 14,701.50 and 34,677

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Solution

The third proportional to 14,701.50 and 34,677 is: 81,793.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701.50 : 34,677 = 34,677 : x
  2. Step 2: Convert to fraction form
    14,701.50/34,677 = 34,677/x
  3. Step 3: Cross multiply
    14,701.50x = 34,677 × 34,677
  4. Step 4: Simplify right side
    14,701.50x = 1,202,494,329
  5. Step 5: Solve for x
    x = 1,202,494,329/14,701.50
  6. Step 6: Final answer
    x = 81,793.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.