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Finding the Third Proportional to 32,253 and 49,817

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Solution

The third proportional to 32,253 and 49,817 is: 76,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,253 : 49,817 = 49,817 : x
  2. Step 2: Convert to fraction form
    32,253/49,817 = 49,817/x
  3. Step 3: Cross multiply
    32,253x = 49,817 × 49,817
  4. Step 4: Simplify right side
    32,253x = 2,481,733,489
  5. Step 5: Solve for x
    x = 2,481,733,489/32,253
  6. Step 6: Final answer
    x = 76,945.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.