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Finding the Third Proportional to 1,097.44 and 2,329.88

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Solution

The third proportional to 1,097.44 and 2,329.88 is: 4,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.44 : 2,329.88 = 2,329.88 : x
  2. Step 2: Convert to fraction form
    1,097.44/2,329.88 = 2,329.88/x
  3. Step 3: Cross multiply
    1,097.44x = 2,329.88 × 2,329.88
  4. Step 4: Simplify right side
    1,097.44x = 5,428,317.52
  5. Step 5: Solve for x
    x = 5,428,317.52/1,097.44
  6. Step 6: Final answer
    x = 4,946.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.