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Finding the Third Proportional to 2,097.56 and 4,367.53

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Solution

The third proportional to 2,097.56 and 4,367.53 is: 9,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.56 : 4,367.53 = 4,367.53 : x
  2. Step 2: Convert to fraction form
    2,097.56/4,367.53 = 4,367.53/x
  3. Step 3: Cross multiply
    2,097.56x = 4,367.53 × 4,367.53
  4. Step 4: Simplify right side
    2,097.56x = 19,075,329.22
  5. Step 5: Solve for x
    x = 19,075,329.22/2,097.56
  6. Step 6: Final answer
    x = 9,094.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.