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Finding the Third Proportional to 19,203.75 and 21,208.50

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Solution

The third proportional to 19,203.75 and 21,208.50 is: 23,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,203.75 : 21,208.50 = 21,208.50 : x
  2. Step 2: Convert to fraction form
    19,203.75/21,208.50 = 21,208.50/x
  3. Step 3: Cross multiply
    19,203.75x = 21,208.50 × 21,208.50
  4. Step 4: Simplify right side
    19,203.75x = 449,800,472.25
  5. Step 5: Solve for x
    x = 449,800,472.25/19,203.75
  6. Step 6: Final answer
    x = 23,422.53

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.