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Finding the Third Proportional to 17,960 and 26,404

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Solution

The third proportional to 17,960 and 26,404 is: 38,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960 : 26,404 = 26,404 : x
  2. Step 2: Convert to fraction form
    17,960/26,404 = 26,404/x
  3. Step 3: Cross multiply
    17,960x = 26,404 × 26,404
  4. Step 4: Simplify right side
    17,960x = 697,171,216
  5. Step 5: Solve for x
    x = 697,171,216/17,960
  6. Step 6: Final answer
    x = 38,818.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.