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Finding the Third Proportional to 3,344.63 and 7,070.63

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Solution

The third proportional to 3,344.63 and 7,070.63 is: 14,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,344.63 : 7,070.63 = 7,070.63 : x
  2. Step 2: Convert to fraction form
    3,344.63/7,070.63 = 7,070.63/x
  3. Step 3: Cross multiply
    3,344.63x = 7,070.63 × 7,070.63
  4. Step 4: Simplify right side
    3,344.63x = 49,993,737.89
  5. Step 5: Solve for x
    x = 49,993,737.89/3,344.63
  6. Step 6: Final answer
    x = 14,947.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.