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Finding the Third Proportional to 17,490 and 27,693

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Solution

The third proportional to 17,490 and 27,693 is: 43,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,490 : 27,693 = 27,693 : x
  2. Step 2: Convert to fraction form
    17,490/27,693 = 27,693/x
  3. Step 3: Cross multiply
    17,490x = 27,693 × 27,693
  4. Step 4: Simplify right side
    17,490x = 766,902,249
  5. Step 5: Solve for x
    x = 766,902,249/17,490
  6. Step 6: Final answer
    x = 43,848.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.