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Finding the Third Proportional to 5,923.13 and 8,960.63

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Solution

The third proportional to 5,923.13 and 8,960.63 is: 13,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.13 : 8,960.63 = 8,960.63 : x
  2. Step 2: Convert to fraction form
    5,923.13/8,960.63 = 8,960.63/x
  3. Step 3: Cross multiply
    5,923.13x = 8,960.63 × 8,960.63
  4. Step 4: Simplify right side
    5,923.13x = 80,292,800.39
  5. Step 5: Solve for x
    x = 80,292,800.39/5,923.13
  6. Step 6: Final answer
    x = 13,555.82

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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.