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Finding the Third Proportional to 2,980 and 7,202

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Solution

The third proportional to 2,980 and 7,202 is: 17,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980 : 7,202 = 7,202 : x
  2. Step 2: Convert to fraction form
    2,980/7,202 = 7,202/x
  3. Step 3: Cross multiply
    2,980x = 7,202 × 7,202
  4. Step 4: Simplify right side
    2,980x = 51,868,804
  5. Step 5: Solve for x
    x = 51,868,804/2,980
  6. Step 6: Final answer
    x = 17,405.64

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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.