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Finding the Third Proportional to 36,463 and 79,784

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Solution

The third proportional to 36,463 and 79,784 is: 174,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,463 : 79,784 = 79,784 : x
  2. Step 2: Convert to fraction form
    36,463/79,784 = 79,784/x
  3. Step 3: Cross multiply
    36,463x = 79,784 × 79,784
  4. Step 4: Simplify right side
    36,463x = 6,365,486,656
  5. Step 5: Solve for x
    x = 6,365,486,656/36,463
  6. Step 6: Final answer
    x = 174,573.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.