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Finding the Third Proportional to 23,160.38 and 47,138.63

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Solution

The third proportional to 23,160.38 and 47,138.63 is: 95,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,160.38 : 47,138.63 = 47,138.63 : x
  2. Step 2: Convert to fraction form
    23,160.38/47,138.63 = 47,138.63/x
  3. Step 3: Cross multiply
    23,160.38x = 47,138.63 × 47,138.63
  4. Step 4: Simplify right side
    23,160.38x = 2,222,049,966.89
  5. Step 5: Solve for x
    x = 2,222,049,966.89/23,160.38
  6. Step 6: Final answer
    x = 95,941.88

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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.