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Finding the Third Proportional to 3,130 and 6,609

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Solution

The third proportional to 3,130 and 6,609 is: 13,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130 : 6,609 = 6,609 : x
  2. Step 2: Convert to fraction form
    3,130/6,609 = 6,609/x
  3. Step 3: Cross multiply
    3,130x = 6,609 × 6,609
  4. Step 4: Simplify right side
    3,130x = 43,678,881
  5. Step 5: Solve for x
    x = 43,678,881/3,130
  6. Step 6: Final answer
    x = 13,954.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.