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Finding the Third Proportional to 5,970 and 14,196

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Solution

The third proportional to 5,970 and 14,196 is: 33,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970 : 14,196 = 14,196 : x
  2. Step 2: Convert to fraction form
    5,970/14,196 = 14,196/x
  3. Step 3: Cross multiply
    5,970x = 14,196 × 14,196
  4. Step 4: Simplify right side
    5,970x = 201,526,416
  5. Step 5: Solve for x
    x = 201,526,416/5,970
  6. Step 6: Final answer
    x = 33,756.52

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.