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Finding the Third Proportional to 6,196 and 13,000

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Solution

The third proportional to 6,196 and 13,000 is: 27,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196 : 13,000 = 13,000 : x
  2. Step 2: Convert to fraction form
    6,196/13,000 = 13,000/x
  3. Step 3: Cross multiply
    6,196x = 13,000 × 13,000
  4. Step 4: Simplify right side
    6,196x = 169,000,000
  5. Step 5: Solve for x
    x = 169,000,000/6,196
  6. Step 6: Final answer
    x = 27,275.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.