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Finding the Third Proportional to 17,946 and 27,787

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Solution

The third proportional to 17,946 and 27,787 is: 43,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946 : 27,787 = 27,787 : x
  2. Step 2: Convert to fraction form
    17,946/27,787 = 27,787/x
  3. Step 3: Cross multiply
    17,946x = 27,787 × 27,787
  4. Step 4: Simplify right side
    17,946x = 772,117,369
  5. Step 5: Solve for x
    x = 772,117,369/17,946
  6. Step 6: Final answer
    x = 43,024.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.