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Finding the Third Proportional to 7,576 and 16,205

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Solution

The third proportional to 7,576 and 16,205 is: 34,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576 : 16,205 = 16,205 : x
  2. Step 2: Convert to fraction form
    7,576/16,205 = 16,205/x
  3. Step 3: Cross multiply
    7,576x = 16,205 × 16,205
  4. Step 4: Simplify right side
    7,576x = 262,602,025
  5. Step 5: Solve for x
    x = 262,602,025/7,576
  6. Step 6: Final answer
    x = 34,662.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.