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Finding the Third Proportional to 17,967 and 25,716

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Solution

The third proportional to 17,967 and 25,716 is: 36,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967 : 25,716 = 25,716 : x
  2. Step 2: Convert to fraction form
    17,967/25,716 = 25,716/x
  3. Step 3: Cross multiply
    17,967x = 25,716 × 25,716
  4. Step 4: Simplify right side
    17,967x = 661,312,656
  5. Step 5: Solve for x
    x = 661,312,656/17,967
  6. Step 6: Final answer
    x = 36,807.07

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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.