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Finding the Third Proportional to 1,341.14 and 2,775.09

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Solution

The third proportional to 1,341.14 and 2,775.09 is: 5,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.14 : 2,775.09 = 2,775.09 : x
  2. Step 2: Convert to fraction form
    1,341.14/2,775.09 = 2,775.09/x
  3. Step 3: Cross multiply
    1,341.14x = 2,775.09 × 2,775.09
  4. Step 4: Simplify right side
    1,341.14x = 7,701,145.32
  5. Step 5: Solve for x
    x = 7,701,145.32/1,341.14
  6. Step 6: Final answer
    x = 5,742.24

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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.