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Finding the Third Proportional to 7,708.03 and 16,023.56

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Solution

The third proportional to 7,708.03 and 16,023.56 is: 33,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.03 : 16,023.56 = 16,023.56 : x
  2. Step 2: Convert to fraction form
    7,708.03/16,023.56 = 16,023.56/x
  3. Step 3: Cross multiply
    7,708.03x = 16,023.56 × 16,023.56
  4. Step 4: Simplify right side
    7,708.03x = 256,754,555.19
  5. Step 5: Solve for x
    x = 256,754,555.19/7,708.03
  6. Step 6: Final answer
    x = 33,310.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.