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Finding the Third Proportional to 3,406.36 and 4,577.48

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Solution

The third proportional to 3,406.36 and 4,577.48 is: 6,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.36 : 4,577.48 = 4,577.48 : x
  2. Step 2: Convert to fraction form
    3,406.36/4,577.48 = 4,577.48/x
  3. Step 3: Cross multiply
    3,406.36x = 4,577.48 × 4,577.48
  4. Step 4: Simplify right side
    3,406.36x = 20,953,363.20
  5. Step 5: Solve for x
    x = 20,953,363.20/3,406.36
  6. Step 6: Final answer
    x = 6,151.25

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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.