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Finding the Third Proportional to 15,576.75 and 36,570.38

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Solution

The third proportional to 15,576.75 and 36,570.38 is: 85,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,576.75 : 36,570.38 = 36,570.38 : x
  2. Step 2: Convert to fraction form
    15,576.75/36,570.38 = 36,570.38/x
  3. Step 3: Cross multiply
    15,576.75x = 36,570.38 × 36,570.38
  4. Step 4: Simplify right side
    15,576.75x = 1,337,392,327.64
  5. Step 5: Solve for x
    x = 1,337,392,327.64/15,576.75
  6. Step 6: Final answer
    x = 85,858.24

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.