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Finding the Third Proportional to 12,089.25 and 17,903.25

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Solution

The third proportional to 12,089.25 and 17,903.25 is: 26,513.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.25 : 17,903.25 = 17,903.25 : x
  2. Step 2: Convert to fraction form
    12,089.25/17,903.25 = 17,903.25/x
  3. Step 3: Cross multiply
    12,089.25x = 17,903.25 × 17,903.25
  4. Step 4: Simplify right side
    12,089.25x = 320,526,360.56
  5. Step 5: Solve for x
    x = 320,526,360.56/12,089.25
  6. Step 6: Final answer
    x = 26,513.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.