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Finding the Third Proportional to 2,966.63 and 4,584.94

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Solution

The third proportional to 2,966.63 and 4,584.94 is: 7,086.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.63 : 4,584.94 = 4,584.94 : x
  2. Step 2: Convert to fraction form
    2,966.63/4,584.94 = 4,584.94/x
  3. Step 3: Cross multiply
    2,966.63x = 4,584.94 × 4,584.94
  4. Step 4: Simplify right side
    2,966.63x = 21,021,651.88
  5. Step 5: Solve for x
    x = 21,021,651.88/2,966.63
  6. Step 6: Final answer
    x = 7,086.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.