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Finding the Third Proportional to 14,175.31 and 20,852.88

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Solution

The third proportional to 14,175.31 and 20,852.88 is: 30,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.31 : 20,852.88 = 20,852.88 : x
  2. Step 2: Convert to fraction form
    14,175.31/20,852.88 = 20,852.88/x
  3. Step 3: Cross multiply
    14,175.31x = 20,852.88 × 20,852.88
  4. Step 4: Simplify right side
    14,175.31x = 434,842,395.77
  5. Step 5: Solve for x
    x = 434,842,395.77/14,175.31
  6. Step 6: Final answer
    x = 30,676.04

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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.