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Finding the Third Proportional to 14,586.44 and 22,629.69

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Solution

The third proportional to 14,586.44 and 22,629.69 is: 35,108.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.44 : 22,629.69 = 22,629.69 : x
  2. Step 2: Convert to fraction form
    14,586.44/22,629.69 = 22,629.69/x
  3. Step 3: Cross multiply
    14,586.44x = 22,629.69 × 22,629.69
  4. Step 4: Simplify right side
    14,586.44x = 512,102,756.35
  5. Step 5: Solve for x
    x = 512,102,756.35/14,586.44
  6. Step 6: Final answer
    x = 35,108.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.