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Finding the Third Proportional to 3,182.63 and 7,014.94

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Solution

The third proportional to 3,182.63 and 7,014.94 is: 15,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.63 : 7,014.94 = 7,014.94 : x
  2. Step 2: Convert to fraction form
    3,182.63/7,014.94 = 7,014.94/x
  3. Step 3: Cross multiply
    3,182.63x = 7,014.94 × 7,014.94
  4. Step 4: Simplify right side
    3,182.63x = 49,209,348.13
  5. Step 5: Solve for x
    x = 49,209,348.13/3,182.63
  6. Step 6: Final answer
    x = 15,461.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.