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Finding the Third Proportional to 1,701 and 3,604.50

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Solution

The third proportional to 1,701 and 3,604.50 is: 7,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701 : 3,604.50 = 3,604.50 : x
  2. Step 2: Convert to fraction form
    1,701/3,604.50 = 3,604.50/x
  3. Step 3: Cross multiply
    1,701x = 3,604.50 × 3,604.50
  4. Step 4: Simplify right side
    1,701x = 12,992,420.25
  5. Step 5: Solve for x
    x = 12,992,420.25/1,701
  6. Step 6: Final answer
    x = 7,638.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.