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Finding the Third Proportional to 12,444.75 and 19,703.25

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Solution

The third proportional to 12,444.75 and 19,703.25 is: 31,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.75 : 19,703.25 = 19,703.25 : x
  2. Step 2: Convert to fraction form
    12,444.75/19,703.25 = 19,703.25/x
  3. Step 3: Cross multiply
    12,444.75x = 19,703.25 × 19,703.25
  4. Step 4: Simplify right side
    12,444.75x = 388,218,060.56
  5. Step 5: Solve for x
    x = 388,218,060.56/12,444.75
  6. Step 6: Final answer
    x = 31,195.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.