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Finding the Third Proportional to 13,037.63 and 26,535.38

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Solution

The third proportional to 13,037.63 and 26,535.38 is: 54,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.63 : 26,535.38 = 26,535.38 : x
  2. Step 2: Convert to fraction form
    13,037.63/26,535.38 = 26,535.38/x
  3. Step 3: Cross multiply
    13,037.63x = 26,535.38 × 26,535.38
  4. Step 4: Simplify right side
    13,037.63x = 704,126,126.39
  5. Step 5: Solve for x
    x = 704,126,126.39/13,037.63
  6. Step 6: Final answer
    x = 54,007.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.