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Finding the Third Proportional to 7,712.72 and 16,464.52

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Solution

The third proportional to 7,712.72 and 16,464.52 is: 35,147.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.72 : 16,464.52 = 16,464.52 : x
  2. Step 2: Convert to fraction form
    7,712.72/16,464.52 = 16,464.52/x
  3. Step 3: Cross multiply
    7,712.72x = 16,464.52 × 16,464.52
  4. Step 4: Simplify right side
    7,712.72x = 271,080,274.77
  5. Step 5: Solve for x
    x = 271,080,274.77/7,712.72
  6. Step 6: Final answer
    x = 35,147.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.