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Finding the Third Proportional to 23,191.31 and 34,703.44

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Solution

The third proportional to 23,191.31 and 34,703.44 is: 51,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.31 : 34,703.44 = 34,703.44 : x
  2. Step 2: Convert to fraction form
    23,191.31/34,703.44 = 34,703.44/x
  3. Step 3: Cross multiply
    23,191.31x = 34,703.44 × 34,703.44
  4. Step 4: Simplify right side
    23,191.31x = 1,204,328,574.32
  5. Step 5: Solve for x
    x = 1,204,328,574.32/23,191.31
  6. Step 6: Final answer
    x = 51,930.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.