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Finding the Third Proportional to 3,506.63 and 4,910.63

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Solution

The third proportional to 3,506.63 and 4,910.63 is: 6,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.63 : 4,910.63 = 4,910.63 : x
  2. Step 2: Convert to fraction form
    3,506.63/4,910.63 = 4,910.63/x
  3. Step 3: Cross multiply
    3,506.63x = 4,910.63 × 4,910.63
  4. Step 4: Simplify right side
    3,506.63x = 24,114,237.89
  5. Step 5: Solve for x
    x = 24,114,237.89/3,506.63
  6. Step 6: Final answer
    x = 6,876.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.