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Finding the Third Proportional to 32,676.75 and 48,880.13

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Solution

The third proportional to 32,676.75 and 48,880.13 is: 73,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.75 : 48,880.13 = 48,880.13 : x
  2. Step 2: Convert to fraction form
    32,676.75/48,880.13 = 48,880.13/x
  3. Step 3: Cross multiply
    32,676.75x = 48,880.13 × 48,880.13
  4. Step 4: Simplify right side
    32,676.75x = 2,389,266,620.02
  5. Step 5: Solve for x
    x = 2,389,266,620.02/32,676.75
  6. Step 6: Final answer
    x = 73,118.25

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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.