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Finding the Third Proportional to 15,429.94 and 23,043.66

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Solution

The third proportional to 15,429.94 and 23,043.66 is: 34,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429.94 : 23,043.66 = 23,043.66 : x
  2. Step 2: Convert to fraction form
    15,429.94/23,043.66 = 23,043.66/x
  3. Step 3: Cross multiply
    15,429.94x = 23,043.66 × 23,043.66
  4. Step 4: Simplify right side
    15,429.94x = 531,010,093.37
  5. Step 5: Solve for x
    x = 531,010,093.37/15,429.94
  6. Step 6: Final answer
    x = 34,414.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.