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Finding the Third Proportional to 10,983.92 and 16,629.92

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Solution

The third proportional to 10,983.92 and 16,629.92 is: 25,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.92 : 16,629.92 = 16,629.92 : x
  2. Step 2: Convert to fraction form
    10,983.92/16,629.92 = 16,629.92/x
  3. Step 3: Cross multiply
    10,983.92x = 16,629.92 × 16,629.92
  4. Step 4: Simplify right side
    10,983.92x = 276,554,301.57
  5. Step 5: Solve for x
    x = 276,554,301.57/10,983.92
  6. Step 6: Final answer
    x = 25,178.10

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Why These Related Problems?

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