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Finding the Third Proportional to 6,207 and 16,095

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Solution

The third proportional to 6,207 and 16,095 is: 41,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207 : 16,095 = 16,095 : x
  2. Step 2: Convert to fraction form
    6,207/16,095 = 16,095/x
  3. Step 3: Cross multiply
    6,207x = 16,095 × 16,095
  4. Step 4: Simplify right side
    6,207x = 259,049,025
  5. Step 5: Solve for x
    x = 259,049,025/6,207
  6. Step 6: Final answer
    x = 41,734.98

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.