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Finding the Third Proportional to 17,646 and 28,089

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Solution

The third proportional to 17,646 and 28,089 is: 44,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646 : 28,089 = 28,089 : x
  2. Step 2: Convert to fraction form
    17,646/28,089 = 28,089/x
  3. Step 3: Cross multiply
    17,646x = 28,089 × 28,089
  4. Step 4: Simplify right side
    17,646x = 788,991,921
  5. Step 5: Solve for x
    x = 788,991,921/17,646
  6. Step 6: Final answer
    x = 44,712.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.