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Finding the Third Proportional to 32,463 and 49,045

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Solution

The third proportional to 32,463 and 49,045 is: 74,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,463 : 49,045 = 49,045 : x
  2. Step 2: Convert to fraction form
    32,463/49,045 = 49,045/x
  3. Step 3: Cross multiply
    32,463x = 49,045 × 49,045
  4. Step 4: Simplify right side
    32,463x = 2,405,412,025
  5. Step 5: Solve for x
    x = 2,405,412,025/32,463
  6. Step 6: Final answer
    x = 74,097.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.