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Finding the Third Proportional to 23,158.69 and 47,135.81

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Solution

The third proportional to 23,158.69 and 47,135.81 is: 95,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.69 : 47,135.81 = 47,135.81 : x
  2. Step 2: Convert to fraction form
    23,158.69/47,135.81 = 47,135.81/x
  3. Step 3: Cross multiply
    23,158.69x = 47,135.81 × 47,135.81
  4. Step 4: Simplify right side
    23,158.69x = 2,221,784,820.04
  5. Step 5: Solve for x
    x = 2,221,784,820.04/23,158.69
  6. Step 6: Final answer
    x = 95,937.42

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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.