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Finding the Third Proportional to 23,157.56 and 47,133.56

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Solution

The third proportional to 23,157.56 and 47,133.56 is: 95,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.56 : 47,133.56 = 47,133.56 : x
  2. Step 2: Convert to fraction form
    23,157.56/47,133.56 = 47,133.56/x
  3. Step 3: Cross multiply
    23,157.56x = 47,133.56 × 47,133.56
  4. Step 4: Simplify right side
    23,157.56x = 2,221,572,713.94
  5. Step 5: Solve for x
    x = 2,221,572,713.94/23,157.56
  6. Step 6: Final answer
    x = 95,932.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.