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Finding the Third Proportional to 32,186 and 50,063

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Solution

The third proportional to 32,186 and 50,063 is: 77,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,186 : 50,063 = 50,063 : x
  2. Step 2: Convert to fraction form
    32,186/50,063 = 50,063/x
  3. Step 3: Cross multiply
    32,186x = 50,063 × 50,063
  4. Step 4: Simplify right side
    32,186x = 2,506,303,969
  5. Step 5: Solve for x
    x = 2,506,303,969/32,186
  6. Step 6: Final answer
    x = 77,869.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.