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Finding the Third Proportional to 17,008 and 24,716

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Solution

The third proportional to 17,008 and 24,716 is: 35,917.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,008 : 24,716 = 24,716 : x
  2. Step 2: Convert to fraction form
    17,008/24,716 = 24,716/x
  3. Step 3: Cross multiply
    17,008x = 24,716 × 24,716
  4. Step 4: Simplify right side
    17,008x = 610,880,656
  5. Step 5: Solve for x
    x = 610,880,656/17,008
  6. Step 6: Final answer
    x = 35,917.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.