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Finding the Third Proportional to 4,541 and 6,090.25

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Solution

The third proportional to 4,541 and 6,090.25 is: 8,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541 : 6,090.25 = 6,090.25 : x
  2. Step 2: Convert to fraction form
    4,541/6,090.25 = 6,090.25/x
  3. Step 3: Cross multiply
    4,541x = 6,090.25 × 6,090.25
  4. Step 4: Simplify right side
    4,541x = 37,091,145.06
  5. Step 5: Solve for x
    x = 37,091,145.06/4,541
  6. Step 6: Final answer
    x = 8,168.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.