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Finding the Third Proportional to 20,077.88 and 29,396.63

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Solution

The third proportional to 20,077.88 and 29,396.63 is: 43,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.88 : 29,396.63 = 29,396.63 : x
  2. Step 2: Convert to fraction form
    20,077.88/29,396.63 = 29,396.63/x
  3. Step 3: Cross multiply
    20,077.88x = 29,396.63 × 29,396.63
  4. Step 4: Simplify right side
    20,077.88x = 864,161,561.39
  5. Step 5: Solve for x
    x = 864,161,561.39/20,077.88
  6. Step 6: Final answer
    x = 43,040.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.