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Finding the Third Proportional to 2,097.14 and 4,346.16

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Solution

The third proportional to 2,097.14 and 4,346.16 is: 9,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.14 : 4,346.16 = 4,346.16 : x
  2. Step 2: Convert to fraction form
    2,097.14/4,346.16 = 4,346.16/x
  3. Step 3: Cross multiply
    2,097.14x = 4,346.16 × 4,346.16
  4. Step 4: Simplify right side
    2,097.14x = 18,889,074.15
  5. Step 5: Solve for x
    x = 18,889,074.15/2,097.14
  6. Step 6: Final answer
    x = 9,007.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.