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Finding the Third Proportional to 32,821.13 and 49,221.56

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Solution

The third proportional to 32,821.13 and 49,221.56 is: 73,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,821.13 : 49,221.56 = 49,221.56 : x
  2. Step 2: Convert to fraction form
    32,821.13/49,221.56 = 49,221.56/x
  3. Step 3: Cross multiply
    32,821.13x = 49,221.56 × 49,221.56
  4. Step 4: Simplify right side
    32,821.13x = 2,422,762,214.94
  5. Step 5: Solve for x
    x = 2,422,762,214.94/32,821.13
  6. Step 6: Final answer
    x = 73,817.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.