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Finding the Third Proportional to 2,307 and 3,300

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Solution

The third proportional to 2,307 and 3,300 is: 4,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307 : 3,300 = 3,300 : x
  2. Step 2: Convert to fraction form
    2,307/3,300 = 3,300/x
  3. Step 3: Cross multiply
    2,307x = 3,300 × 3,300
  4. Step 4: Simplify right side
    2,307x = 10,890,000
  5. Step 5: Solve for x
    x = 10,890,000/2,307
  6. Step 6: Final answer
    x = 4,720.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.