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Finding the Third Proportional to 15,133.50 and 19,684.69

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Solution

The third proportional to 15,133.50 and 19,684.69 is: 25,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,133.50 : 19,684.69 = 19,684.69 : x
  2. Step 2: Convert to fraction form
    15,133.50/19,684.69 = 19,684.69/x
  3. Step 3: Cross multiply
    15,133.50x = 19,684.69 × 19,684.69
  4. Step 4: Simplify right side
    15,133.50x = 387,486,921.97
  5. Step 5: Solve for x
    x = 387,486,921.97/15,133.50
  6. Step 6: Final answer
    x = 25,604.58

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.