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Finding the Third Proportional to 2,973.80 and 6,369.05

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Solution

The third proportional to 2,973.80 and 6,369.05 is: 13,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.80 : 6,369.05 = 6,369.05 : x
  2. Step 2: Convert to fraction form
    2,973.80/6,369.05 = 6,369.05/x
  3. Step 3: Cross multiply
    2,973.80x = 6,369.05 × 6,369.05
  4. Step 4: Simplify right side
    2,973.80x = 40,564,758.10
  5. Step 5: Solve for x
    x = 40,564,758.10/2,973.80
  6. Step 6: Final answer
    x = 13,640.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.