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Finding the Third Proportional to 14,106.50 and 30,337

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Solution

The third proportional to 14,106.50 and 30,337 is: 65,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.50 : 30,337 = 30,337 : x
  2. Step 2: Convert to fraction form
    14,106.50/30,337 = 30,337/x
  3. Step 3: Cross multiply
    14,106.50x = 30,337 × 30,337
  4. Step 4: Simplify right side
    14,106.50x = 920,333,569
  5. Step 5: Solve for x
    x = 920,333,569/14,106.50
  6. Step 6: Final answer
    x = 65,241.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.