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Finding the Third Proportional to 20,685.38 and 47,703.94

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Solution

The third proportional to 20,685.38 and 47,703.94 is: 110,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.38 : 47,703.94 = 47,703.94 : x
  2. Step 2: Convert to fraction form
    20,685.38/47,703.94 = 47,703.94/x
  3. Step 3: Cross multiply
    20,685.38x = 47,703.94 × 47,703.94
  4. Step 4: Simplify right side
    20,685.38x = 2,275,665,653.00
  5. Step 5: Solve for x
    x = 2,275,665,653.00/20,685.38
  6. Step 6: Final answer
    x = 110,013.27

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.