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Finding the Third Proportional to 2,090.93 and 3,078.64

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Solution

The third proportional to 2,090.93 and 3,078.64 is: 4,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.93 : 3,078.64 = 3,078.64 : x
  2. Step 2: Convert to fraction form
    2,090.93/3,078.64 = 3,078.64/x
  3. Step 3: Cross multiply
    2,090.93x = 3,078.64 × 3,078.64
  4. Step 4: Simplify right side
    2,090.93x = 9,478,020.58
  5. Step 5: Solve for x
    x = 9,478,020.58/2,090.93
  6. Step 6: Final answer
    x = 4,532.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.