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Finding the Third Proportional to 1,214 and 3,010

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Solution

The third proportional to 1,214 and 3,010 is: 7,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214 : 3,010 = 3,010 : x
  2. Step 2: Convert to fraction form
    1,214/3,010 = 3,010/x
  3. Step 3: Cross multiply
    1,214x = 3,010 × 3,010
  4. Step 4: Simplify right side
    1,214x = 9,060,100
  5. Step 5: Solve for x
    x = 9,060,100/1,214
  6. Step 6: Final answer
    x = 7,463.01

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.