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Finding the Third Proportional to 14,583.80 and 22,009.22

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Solution

The third proportional to 14,583.80 and 22,009.22 is: 33,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.80 : 22,009.22 = 22,009.22 : x
  2. Step 2: Convert to fraction form
    14,583.80/22,009.22 = 22,009.22/x
  3. Step 3: Cross multiply
    14,583.80x = 22,009.22 × 22,009.22
  4. Step 4: Simplify right side
    14,583.80x = 484,405,709.99
  5. Step 5: Solve for x
    x = 484,405,709.99/14,583.80
  6. Step 6: Final answer
    x = 33,215.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.