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Finding the Third Proportional to 4,765 and 5,215

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Solution

The third proportional to 4,765 and 5,215 is: 5,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765 : 5,215 = 5,215 : x
  2. Step 2: Convert to fraction form
    4,765/5,215 = 5,215/x
  3. Step 3: Cross multiply
    4,765x = 5,215 × 5,215
  4. Step 4: Simplify right side
    4,765x = 27,196,225
  5. Step 5: Solve for x
    x = 27,196,225/4,765
  6. Step 6: Final answer
    x = 5,707.50

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.