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Finding the Third Proportional to 32,051.63 and 49,757.63

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Solution

The third proportional to 32,051.63 and 49,757.63 is: 77,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,051.63 : 49,757.63 = 49,757.63 : x
  2. Step 2: Convert to fraction form
    32,051.63/49,757.63 = 49,757.63/x
  3. Step 3: Cross multiply
    32,051.63x = 49,757.63 × 49,757.63
  4. Step 4: Simplify right side
    32,051.63x = 2,475,821,245.64
  5. Step 5: Solve for x
    x = 2,475,821,245.64/32,051.63
  6. Step 6: Final answer
    x = 77,244.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.