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Finding the Third Proportional to 9,756.56 and 23,023.97

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Solution

The third proportional to 9,756.56 and 23,023.97 is: 54,332.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.56 : 23,023.97 = 23,023.97 : x
  2. Step 2: Convert to fraction form
    9,756.56/23,023.97 = 23,023.97/x
  3. Step 3: Cross multiply
    9,756.56x = 23,023.97 × 23,023.97
  4. Step 4: Simplify right side
    9,756.56x = 530,103,137.00
  5. Step 5: Solve for x
    x = 530,103,137.00/9,756.56
  6. Step 6: Final answer
    x = 54,332.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.