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Finding the Third Proportional to 7,101 and 10,647

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Solution

The third proportional to 7,101 and 10,647 is: 15,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101 : 10,647 = 10,647 : x
  2. Step 2: Convert to fraction form
    7,101/10,647 = 10,647/x
  3. Step 3: Cross multiply
    7,101x = 10,647 × 10,647
  4. Step 4: Simplify right side
    7,101x = 113,358,609
  5. Step 5: Solve for x
    x = 113,358,609/7,101
  6. Step 6: Final answer
    x = 15,963.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.