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Finding the Third Proportional to 10,983 and 23,954.25

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Solution

The third proportional to 10,983 and 23,954.25 is: 52,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983 : 23,954.25 = 23,954.25 : x
  2. Step 2: Convert to fraction form
    10,983/23,954.25 = 23,954.25/x
  3. Step 3: Cross multiply
    10,983x = 23,954.25 × 23,954.25
  4. Step 4: Simplify right side
    10,983x = 573,806,093.06
  5. Step 5: Solve for x
    x = 573,806,093.06/10,983
  6. Step 6: Final answer
    x = 52,244.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.