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Finding the Third Proportional to 19,703.25 and 23,348.25

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Solution

The third proportional to 19,703.25 and 23,348.25 is: 27,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,703.25 : 23,348.25 = 23,348.25 : x
  2. Step 2: Convert to fraction form
    19,703.25/23,348.25 = 23,348.25/x
  3. Step 3: Cross multiply
    19,703.25x = 23,348.25 × 23,348.25
  4. Step 4: Simplify right side
    19,703.25x = 545,140,778.06
  5. Step 5: Solve for x
    x = 545,140,778.06/19,703.25
  6. Step 6: Final answer
    x = 27,667.56

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.