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Finding the Third Proportional to 25,264.41 and 35,037.56

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Solution

The third proportional to 25,264.41 and 35,037.56 is: 48,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264.41 : 35,037.56 = 35,037.56 : x
  2. Step 2: Convert to fraction form
    25,264.41/35,037.56 = 35,037.56/x
  3. Step 3: Cross multiply
    25,264.41x = 35,037.56 × 35,037.56
  4. Step 4: Simplify right side
    25,264.41x = 1,227,630,785.94
  5. Step 5: Solve for x
    x = 1,227,630,785.94/25,264.41
  6. Step 6: Final answer
    x = 48,591.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.