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Finding the Third Proportional to 15,177.38 and 22,977.56

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Solution

The third proportional to 15,177.38 and 22,977.56 is: 34,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.38 : 22,977.56 = 22,977.56 : x
  2. Step 2: Convert to fraction form
    15,177.38/22,977.56 = 22,977.56/x
  3. Step 3: Cross multiply
    15,177.38x = 22,977.56 × 22,977.56
  4. Step 4: Simplify right side
    15,177.38x = 527,968,378.44
  5. Step 5: Solve for x
    x = 527,968,378.44/15,177.38
  6. Step 6: Final answer
    x = 34,786.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.