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Finding the Third Proportional to 4,209 and 4,816.50

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Solution

The third proportional to 4,209 and 4,816.50 is: 5,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209 : 4,816.50 = 4,816.50 : x
  2. Step 2: Convert to fraction form
    4,209/4,816.50 = 4,816.50/x
  3. Step 3: Cross multiply
    4,209x = 4,816.50 × 4,816.50
  4. Step 4: Simplify right side
    4,209x = 23,198,672.25
  5. Step 5: Solve for x
    x = 23,198,672.25/4,209
  6. Step 6: Final answer
    x = 5,511.68

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.