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Finding the Third Proportional to 2,932.14 and 4,511.64

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Solution

The third proportional to 2,932.14 and 4,511.64 is: 6,941.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932.14 : 4,511.64 = 4,511.64 : x
  2. Step 2: Convert to fraction form
    2,932.14/4,511.64 = 4,511.64/x
  3. Step 3: Cross multiply
    2,932.14x = 4,511.64 × 4,511.64
  4. Step 4: Simplify right side
    2,932.14x = 20,354,865.88
  5. Step 5: Solve for x
    x = 20,354,865.88/2,932.14
  6. Step 6: Final answer
    x = 6,941.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.