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Finding the Third Proportional to 4,568 and 7,097

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Solution

The third proportional to 4,568 and 7,097 is: 11,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568 : 7,097 = 7,097 : x
  2. Step 2: Convert to fraction form
    4,568/7,097 = 7,097/x
  3. Step 3: Cross multiply
    4,568x = 7,097 × 7,097
  4. Step 4: Simplify right side
    4,568x = 50,367,409
  5. Step 5: Solve for x
    x = 50,367,409/4,568
  6. Step 6: Final answer
    x = 11,026.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.