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Finding the Third Proportional to 4,041.77 and 5,431.43

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Solution

The third proportional to 4,041.77 and 5,431.43 is: 7,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,041.77 : 5,431.43 = 5,431.43 : x
  2. Step 2: Convert to fraction form
    4,041.77/5,431.43 = 5,431.43/x
  3. Step 3: Cross multiply
    4,041.77x = 5,431.43 × 5,431.43
  4. Step 4: Simplify right side
    4,041.77x = 29,500,428.45
  5. Step 5: Solve for x
    x = 29,500,428.45/4,041.77
  6. Step 6: Final answer
    x = 7,298.88

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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.