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Finding the Third Proportional to 15,273.56 and 23,538.09

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Solution

The third proportional to 15,273.56 and 23,538.09 is: 36,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,273.56 : 23,538.09 = 23,538.09 : x
  2. Step 2: Convert to fraction form
    15,273.56/23,538.09 = 23,538.09/x
  3. Step 3: Cross multiply
    15,273.56x = 23,538.09 × 23,538.09
  4. Step 4: Simplify right side
    15,273.56x = 554,041,857.38
  5. Step 5: Solve for x
    x = 554,041,857.38/15,273.56
  6. Step 6: Final answer
    x = 36,274.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.