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Finding the Third Proportional to 2,097.14 and 2,718.56

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Solution

The third proportional to 2,097.14 and 2,718.56 is: 3,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.14 : 2,718.56 = 2,718.56 : x
  2. Step 2: Convert to fraction form
    2,097.14/2,718.56 = 2,718.56/x
  3. Step 3: Cross multiply
    2,097.14x = 2,718.56 × 2,718.56
  4. Step 4: Simplify right side
    2,097.14x = 7,390,582.07
  5. Step 5: Solve for x
    x = 7,390,582.07/2,097.14
  6. Step 6: Final answer
    x = 3,524.12

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.