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Finding the Third Proportional to 14,410.31 and 30,973.31

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Solution

The third proportional to 14,410.31 and 30,973.31 is: 66,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.31 : 30,973.31 = 30,973.31 : x
  2. Step 2: Convert to fraction form
    14,410.31/30,973.31 = 30,973.31/x
  3. Step 3: Cross multiply
    14,410.31x = 30,973.31 × 30,973.31
  4. Step 4: Simplify right side
    14,410.31x = 959,346,087.22
  5. Step 5: Solve for x
    x = 959,346,087.22/14,410.31
  6. Step 6: Final answer
    x = 66,573.58

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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.