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Finding the Third Proportional to 32,450.63 and 49,285.13

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Solution

The third proportional to 32,450.63 and 49,285.13 is: 74,852.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.63 : 49,285.13 = 49,285.13 : x
  2. Step 2: Convert to fraction form
    32,450.63/49,285.13 = 49,285.13/x
  3. Step 3: Cross multiply
    32,450.63x = 49,285.13 × 49,285.13
  4. Step 4: Simplify right side
    32,450.63x = 2,429,023,546.27
  5. Step 5: Solve for x
    x = 2,429,023,546.27/32,450.63
  6. Step 6: Final answer
    x = 74,852.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.