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Finding the Third Proportional to 14,029.88 and 30,697.31

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Solution

The third proportional to 14,029.88 and 30,697.31 is: 67,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,029.88 : 30,697.31 = 30,697.31 : x
  2. Step 2: Convert to fraction form
    14,029.88/30,697.31 = 30,697.31/x
  3. Step 3: Cross multiply
    14,029.88x = 30,697.31 × 30,697.31
  4. Step 4: Simplify right side
    14,029.88x = 942,324,994.72
  5. Step 5: Solve for x
    x = 942,324,994.72/14,029.88
  6. Step 6: Final answer
    x = 67,165.60

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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.