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Finding the Third Proportional to 23,195.81 and 51,703.88

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Solution

The third proportional to 23,195.81 and 51,703.88 is: 115,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,195.81 : 51,703.88 = 51,703.88 : x
  2. Step 2: Convert to fraction form
    23,195.81/51,703.88 = 51,703.88/x
  3. Step 3: Cross multiply
    23,195.81x = 51,703.88 × 51,703.88
  4. Step 4: Simplify right side
    23,195.81x = 2,673,290,690.02
  5. Step 5: Solve for x
    x = 2,673,290,690.02/23,195.81
  6. Step 6: Final answer
    x = 115,248.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.