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Finding the Third Proportional to 18,444 and 25,009.50

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Solution

The third proportional to 18,444 and 25,009.50 is: 33,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,444 : 25,009.50 = 25,009.50 : x
  2. Step 2: Convert to fraction form
    18,444/25,009.50 = 25,009.50/x
  3. Step 3: Cross multiply
    18,444x = 25,009.50 × 25,009.50
  4. Step 4: Simplify right side
    18,444x = 625,475,090.25
  5. Step 5: Solve for x
    x = 625,475,090.25/18,444
  6. Step 6: Final answer
    x = 33,912.12

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.