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Finding the Third Proportional to 15,009.75 and 22,433.25

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Solution

The third proportional to 15,009.75 and 22,433.25 is: 33,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009.75 : 22,433.25 = 22,433.25 : x
  2. Step 2: Convert to fraction form
    15,009.75/22,433.25 = 22,433.25/x
  3. Step 3: Cross multiply
    15,009.75x = 22,433.25 × 22,433.25
  4. Step 4: Simplify right side
    15,009.75x = 503,250,705.56
  5. Step 5: Solve for x
    x = 503,250,705.56/15,009.75
  6. Step 6: Final answer
    x = 33,528.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.