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Finding the Third Proportional to 6,178 and 7,154

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Solution

The third proportional to 6,178 and 7,154 is: 8,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178 : 7,154 = 7,154 : x
  2. Step 2: Convert to fraction form
    6,178/7,154 = 7,154/x
  3. Step 3: Cross multiply
    6,178x = 7,154 × 7,154
  4. Step 4: Simplify right side
    6,178x = 51,179,716
  5. Step 5: Solve for x
    x = 51,179,716/6,178
  6. Step 6: Final answer
    x = 8,284.19

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.