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Finding the Third Proportional to 14,544.35 and 22,239.56

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Solution

The third proportional to 14,544.35 and 22,239.56 is: 34,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.35 : 22,239.56 = 22,239.56 : x
  2. Step 2: Convert to fraction form
    14,544.35/22,239.56 = 22,239.56/x
  3. Step 3: Cross multiply
    14,544.35x = 22,239.56 × 22,239.56
  4. Step 4: Simplify right side
    14,544.35x = 494,598,140.19
  5. Step 5: Solve for x
    x = 494,598,140.19/14,544.35
  6. Step 6: Final answer
    x = 34,006.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.