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Finding the Third Proportional to 17,548 and 26,968

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Solution

The third proportional to 17,548 and 26,968 is: 41,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,548 : 26,968 = 26,968 : x
  2. Step 2: Convert to fraction form
    17,548/26,968 = 26,968/x
  3. Step 3: Cross multiply
    17,548x = 26,968 × 26,968
  4. Step 4: Simplify right side
    17,548x = 727,273,024
  5. Step 5: Solve for x
    x = 727,273,024/17,548
  6. Step 6: Final answer
    x = 41,444.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.