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Finding the Third Proportional to 4,767 and 6,808.50

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Solution

The third proportional to 4,767 and 6,808.50 is: 9,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767 : 6,808.50 = 6,808.50 : x
  2. Step 2: Convert to fraction form
    4,767/6,808.50 = 6,808.50/x
  3. Step 3: Cross multiply
    4,767x = 6,808.50 × 6,808.50
  4. Step 4: Simplify right side
    4,767x = 46,355,672.25
  5. Step 5: Solve for x
    x = 46,355,672.25/4,767
  6. Step 6: Final answer
    x = 9,724.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.