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Finding the Third Proportional to 17,384 and 19,160

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Solution

The third proportional to 17,384 and 19,160 is: 21,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,384 : 19,160 = 19,160 : x
  2. Step 2: Convert to fraction form
    17,384/19,160 = 19,160/x
  3. Step 3: Cross multiply
    17,384x = 19,160 × 19,160
  4. Step 4: Simplify right side
    17,384x = 367,105,600
  5. Step 5: Solve for x
    x = 367,105,600/17,384
  6. Step 6: Final answer
    x = 21,117.44

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.