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Finding the Third Proportional to 52,480.41 and 82,088.44

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Solution

The third proportional to 52,480.41 and 82,088.44 is: 128,400.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,480.41 : 82,088.44 = 82,088.44 : x
  2. Step 2: Convert to fraction form
    52,480.41/82,088.44 = 82,088.44/x
  3. Step 3: Cross multiply
    52,480.41x = 82,088.44 × 82,088.44
  4. Step 4: Simplify right side
    52,480.41x = 6,738,511,571.19
  5. Step 5: Solve for x
    x = 6,738,511,571.19/52,480.41
  6. Step 6: Final answer
    x = 128,400.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.