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Finding the Third Proportional to 36,051 and 77,648.63

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Solution

The third proportional to 36,051 and 77,648.63 is: 167,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,051 : 77,648.63 = 77,648.63 : x
  2. Step 2: Convert to fraction form
    36,051/77,648.63 = 77,648.63/x
  3. Step 3: Cross multiply
    36,051x = 77,648.63 × 77,648.63
  4. Step 4: Simplify right side
    36,051x = 6,029,308,964.39
  5. Step 5: Solve for x
    x = 6,029,308,964.39/36,051
  6. Step 6: Final answer
    x = 167,243.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.