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Finding the Third Proportional to 32,336.20 and 48,305.16

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Solution

The third proportional to 32,336.20 and 48,305.16 is: 72,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,336.20 : 48,305.16 = 48,305.16 : x
  2. Step 2: Convert to fraction form
    32,336.20/48,305.16 = 48,305.16/x
  3. Step 3: Cross multiply
    32,336.20x = 48,305.16 × 48,305.16
  4. Step 4: Simplify right side
    32,336.20x = 2,333,388,120.34
  5. Step 5: Solve for x
    x = 2,333,388,120.34/32,336.20
  6. Step 6: Final answer
    x = 72,160.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.