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Finding the Third Proportional to 2,965 and 7,180

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Solution

The third proportional to 2,965 and 7,180 is: 17,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965 : 7,180 = 7,180 : x
  2. Step 2: Convert to fraction form
    2,965/7,180 = 7,180/x
  3. Step 3: Cross multiply
    2,965x = 7,180 × 7,180
  4. Step 4: Simplify right side
    2,965x = 51,552,400
  5. Step 5: Solve for x
    x = 51,552,400/2,965
  6. Step 6: Final answer
    x = 17,386.98

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.