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Finding the Third Proportional to 14,525.16 and 21,517.31

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Solution

The third proportional to 14,525.16 and 21,517.31 is: 31,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,525.16 : 21,517.31 = 21,517.31 : x
  2. Step 2: Convert to fraction form
    14,525.16/21,517.31 = 21,517.31/x
  3. Step 3: Cross multiply
    14,525.16x = 21,517.31 × 21,517.31
  4. Step 4: Simplify right side
    14,525.16x = 462,994,737.22
  5. Step 5: Solve for x
    x = 462,994,737.22/14,525.16
  6. Step 6: Final answer
    x = 31,875.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.