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Finding the Third Proportional to 4,706.44 and 7,008.19

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Solution

The third proportional to 4,706.44 and 7,008.19 is: 10,435.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.44 : 7,008.19 = 7,008.19 : x
  2. Step 2: Convert to fraction form
    4,706.44/7,008.19 = 7,008.19/x
  3. Step 3: Cross multiply
    4,706.44x = 7,008.19 × 7,008.19
  4. Step 4: Simplify right side
    4,706.44x = 49,114,692.04
  5. Step 5: Solve for x
    x = 49,114,692.04/4,706.44
  6. Step 6: Final answer
    x = 10,435.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.