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Finding the Third Proportional to 32,005.69 and 48,450.66

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Solution

The third proportional to 32,005.69 and 48,450.66 is: 73,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.69 : 48,450.66 = 48,450.66 : x
  2. Step 2: Convert to fraction form
    32,005.69/48,450.66 = 48,450.66/x
  3. Step 3: Cross multiply
    32,005.69x = 48,450.66 × 48,450.66
  4. Step 4: Simplify right side
    32,005.69x = 2,347,466,091.06
  5. Step 5: Solve for x
    x = 2,347,466,091.06/32,005.69
  6. Step 6: Final answer
    x = 73,345.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.