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Finding the Third Proportional to 17,946 and 27,943.50

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Solution

The third proportional to 17,946 and 27,943.50 is: 43,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946 : 27,943.50 = 27,943.50 : x
  2. Step 2: Convert to fraction form
    17,946/27,943.50 = 27,943.50/x
  3. Step 3: Cross multiply
    17,946x = 27,943.50 × 27,943.50
  4. Step 4: Simplify right side
    17,946x = 780,839,192.25
  5. Step 5: Solve for x
    x = 780,839,192.25/17,946
  6. Step 6: Final answer
    x = 43,510.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.