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Finding the Third Proportional to 6,199 and 7,029

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Solution

The third proportional to 6,199 and 7,029 is: 7,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199 : 7,029 = 7,029 : x
  2. Step 2: Convert to fraction form
    6,199/7,029 = 7,029/x
  3. Step 3: Cross multiply
    6,199x = 7,029 × 7,029
  4. Step 4: Simplify right side
    6,199x = 49,406,841
  5. Step 5: Solve for x
    x = 49,406,841/6,199
  6. Step 6: Final answer
    x = 7,970.13

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.