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Finding the Third Proportional to 2,016 and 4,409

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Solution

The third proportional to 2,016 and 4,409 is: 9,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016 : 4,409 = 4,409 : x
  2. Step 2: Convert to fraction form
    2,016/4,409 = 4,409/x
  3. Step 3: Cross multiply
    2,016x = 4,409 × 4,409
  4. Step 4: Simplify right side
    2,016x = 19,439,281
  5. Step 5: Solve for x
    x = 19,439,281/2,016
  6. Step 6: Final answer
    x = 9,642.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.