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Finding the Third Proportional to 3,097 and 4,646

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Solution

The third proportional to 3,097 and 4,646 is: 6,969.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 4,646 = 4,646 : x
  2. Step 2: Convert to fraction form
    3,097/4,646 = 4,646/x
  3. Step 3: Cross multiply
    3,097x = 4,646 × 4,646
  4. Step 4: Simplify right side
    3,097x = 21,585,316
  5. Step 5: Solve for x
    x = 21,585,316/3,097
  6. Step 6: Final answer
    x = 6,969.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.