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Finding the Third Proportional to 36,176.63 and 53,171.44

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Solution

The third proportional to 36,176.63 and 53,171.44 is: 78,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,176.63 : 53,171.44 = 53,171.44 : x
  2. Step 2: Convert to fraction form
    36,176.63/53,171.44 = 53,171.44/x
  3. Step 3: Cross multiply
    36,176.63x = 53,171.44 × 53,171.44
  4. Step 4: Simplify right side
    36,176.63x = 2,827,201,765.82
  5. Step 5: Solve for x
    x = 2,827,201,765.82/36,176.63
  6. Step 6: Final answer
    x = 78,149.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.