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Finding the Third Proportional to 12,622.50 and 16,434.56

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Solution

The third proportional to 12,622.50 and 16,434.56 is: 21,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,622.50 : 16,434.56 = 16,434.56 : x
  2. Step 2: Convert to fraction form
    12,622.50/16,434.56 = 16,434.56/x
  3. Step 3: Cross multiply
    12,622.50x = 16,434.56 × 16,434.56
  4. Step 4: Simplify right side
    12,622.50x = 270,094,844.57
  5. Step 5: Solve for x
    x = 270,094,844.57/12,622.50
  6. Step 6: Final answer
    x = 21,397.89

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.