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Finding the Third Proportional to 32,884.31 and 48,095.44

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Solution

The third proportional to 32,884.31 and 48,095.44 is: 70,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,884.31 : 48,095.44 = 48,095.44 : x
  2. Step 2: Convert to fraction form
    32,884.31/48,095.44 = 48,095.44/x
  3. Step 3: Cross multiply
    32,884.31x = 48,095.44 × 48,095.44
  4. Step 4: Simplify right side
    32,884.31x = 2,313,171,108.32
  5. Step 5: Solve for x
    x = 2,313,171,108.32/32,884.31
  6. Step 6: Final answer
    x = 70,342.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.