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Finding the Third Proportional to 9,095 and 19,178

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Solution

The third proportional to 9,095 and 19,178 is: 40,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095 : 19,178 = 19,178 : x
  2. Step 2: Convert to fraction form
    9,095/19,178 = 19,178/x
  3. Step 3: Cross multiply
    9,095x = 19,178 × 19,178
  4. Step 4: Simplify right side
    9,095x = 367,795,684
  5. Step 5: Solve for x
    x = 367,795,684/9,095
  6. Step 6: Final answer
    x = 40,439.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.