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Finding the Third Proportional to 32,740 and 49,055

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Solution

The third proportional to 32,740 and 49,055 is: 73,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,740 : 49,055 = 49,055 : x
  2. Step 2: Convert to fraction form
    32,740/49,055 = 49,055/x
  3. Step 3: Cross multiply
    32,740x = 49,055 × 49,055
  4. Step 4: Simplify right side
    32,740x = 2,406,393,025
  5. Step 5: Solve for x
    x = 2,406,393,025/32,740
  6. Step 6: Final answer
    x = 73,500.09

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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.