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Finding the Third Proportional to 17,656 and 19,498

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Solution

The third proportional to 17,656 and 19,498 is: 21,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656 : 19,498 = 19,498 : x
  2. Step 2: Convert to fraction form
    17,656/19,498 = 19,498/x
  3. Step 3: Cross multiply
    17,656x = 19,498 × 19,498
  4. Step 4: Simplify right side
    17,656x = 380,172,004
  5. Step 5: Solve for x
    x = 380,172,004/17,656
  6. Step 6: Final answer
    x = 21,532.17

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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.