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Finding the Third Proportional to 2,946 and 6,660

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Solution

The third proportional to 2,946 and 6,660 is: 15,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946 : 6,660 = 6,660 : x
  2. Step 2: Convert to fraction form
    2,946/6,660 = 6,660/x
  3. Step 3: Cross multiply
    2,946x = 6,660 × 6,660
  4. Step 4: Simplify right side
    2,946x = 44,355,600
  5. Step 5: Solve for x
    x = 44,355,600/2,946
  6. Step 6: Final answer
    x = 15,056.21

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.