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Finding the Third Proportional to 13,009.50 and 22,025.25

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Solution

The third proportional to 13,009.50 and 22,025.25 is: 37,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.50 : 22,025.25 = 22,025.25 : x
  2. Step 2: Convert to fraction form
    13,009.50/22,025.25 = 22,025.25/x
  3. Step 3: Cross multiply
    13,009.50x = 22,025.25 × 22,025.25
  4. Step 4: Simplify right side
    13,009.50x = 485,111,637.56
  5. Step 5: Solve for x
    x = 485,111,637.56/13,009.50
  6. Step 6: Final answer
    x = 37,289.03

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.