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Finding the Third Proportional to 17,470 and 26,278

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Solution

The third proportional to 17,470 and 26,278 is: 39,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,470 : 26,278 = 26,278 : x
  2. Step 2: Convert to fraction form
    17,470/26,278 = 26,278/x
  3. Step 3: Cross multiply
    17,470x = 26,278 × 26,278
  4. Step 4: Simplify right side
    17,470x = 690,533,284
  5. Step 5: Solve for x
    x = 690,533,284/17,470
  6. Step 6: Final answer
    x = 39,526.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.