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Finding the Third Proportional to 2,966.63 and 6,018.47

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Solution

The third proportional to 2,966.63 and 6,018.47 is: 12,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.63 : 6,018.47 = 6,018.47 : x
  2. Step 2: Convert to fraction form
    2,966.63/6,018.47 = 6,018.47/x
  3. Step 3: Cross multiply
    2,966.63x = 6,018.47 × 6,018.47
  4. Step 4: Simplify right side
    2,966.63x = 36,221,966.09
  5. Step 5: Solve for x
    x = 36,221,966.09/2,966.63
  6. Step 6: Final answer
    x = 12,209.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.