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Finding the Third Proportional to 2,318 and 2,646

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Solution

The third proportional to 2,318 and 2,646 is: 3,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318 : 2,646 = 2,646 : x
  2. Step 2: Convert to fraction form
    2,318/2,646 = 2,646/x
  3. Step 3: Cross multiply
    2,318x = 2,646 × 2,646
  4. Step 4: Simplify right side
    2,318x = 7,001,316
  5. Step 5: Solve for x
    x = 7,001,316/2,318
  6. Step 6: Final answer
    x = 3,020.41

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.