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Finding the Third Proportional to 3,765.02 and 7,826.20

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Solution

The third proportional to 3,765.02 and 7,826.20 is: 16,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.02 : 7,826.20 = 7,826.20 : x
  2. Step 2: Convert to fraction form
    3,765.02/7,826.20 = 7,826.20/x
  3. Step 3: Cross multiply
    3,765.02x = 7,826.20 × 7,826.20
  4. Step 4: Simplify right side
    3,765.02x = 61,249,455.35
  5. Step 5: Solve for x
    x = 61,249,455.35/3,765.02
  6. Step 6: Final answer
    x = 16,268.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.