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Finding the Third Proportional to 4,025.64 and 7,101.11

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Solution

The third proportional to 4,025.64 and 7,101.11 is: 12,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,025.64 : 7,101.11 = 7,101.11 : x
  2. Step 2: Convert to fraction form
    4,025.64/7,101.11 = 7,101.11/x
  3. Step 3: Cross multiply
    4,025.64x = 7,101.11 × 7,101.11
  4. Step 4: Simplify right side
    4,025.64x = 50,425,698.88
  5. Step 5: Solve for x
    x = 50,425,698.88/4,025.64
  6. Step 6: Final answer
    x = 12,526.14

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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.