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Finding the Third Proportional to 3,101.63 and 5,460.75

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Solution

The third proportional to 3,101.63 and 5,460.75 is: 9,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.63 : 5,460.75 = 5,460.75 : x
  2. Step 2: Convert to fraction form
    3,101.63/5,460.75 = 5,460.75/x
  3. Step 3: Cross multiply
    3,101.63x = 5,460.75 × 5,460.75
  4. Step 4: Simplify right side
    3,101.63x = 29,819,790.56
  5. Step 5: Solve for x
    x = 29,819,790.56/3,101.63
  6. Step 6: Final answer
    x = 9,614.25

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.