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Finding the Third Proportional to 3,653 and 4,911.50

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Solution

The third proportional to 3,653 and 4,911.50 is: 6,603.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653 : 4,911.50 = 4,911.50 : x
  2. Step 2: Convert to fraction form
    3,653/4,911.50 = 4,911.50/x
  3. Step 3: Cross multiply
    3,653x = 4,911.50 × 4,911.50
  4. Step 4: Simplify right side
    3,653x = 24,122,832.25
  5. Step 5: Solve for x
    x = 24,122,832.25/3,653
  6. Step 6: Final answer
    x = 6,603.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.