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Finding the Third Proportional to 23,603 and 35,748

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Solution

The third proportional to 23,603 and 35,748 is: 54,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,603 : 35,748 = 35,748 : x
  2. Step 2: Convert to fraction form
    23,603/35,748 = 35,748/x
  3. Step 3: Cross multiply
    23,603x = 35,748 × 35,748
  4. Step 4: Simplify right side
    23,603x = 1,277,919,504
  5. Step 5: Solve for x
    x = 1,277,919,504/23,603
  6. Step 6: Final answer
    x = 54,142.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.