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Finding the Third Proportional to 15,009.75 and 19,476.75

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Solution

The third proportional to 15,009.75 and 19,476.75 is: 25,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,009.75 : 19,476.75 = 19,476.75 : x
  2. Step 2: Convert to fraction form
    15,009.75/19,476.75 = 19,476.75/x
  3. Step 3: Cross multiply
    15,009.75x = 19,476.75 × 19,476.75
  4. Step 4: Simplify right side
    15,009.75x = 379,343,790.56
  5. Step 5: Solve for x
    x = 379,343,790.56/15,009.75
  6. Step 6: Final answer
    x = 25,273.16

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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.