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Finding the Third Proportional to 12,043.13 and 18,534.38

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Solution

The third proportional to 12,043.13 and 18,534.38 is: 28,524.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.13 : 18,534.38 = 18,534.38 : x
  2. Step 2: Convert to fraction form
    12,043.13/18,534.38 = 18,534.38/x
  3. Step 3: Cross multiply
    12,043.13x = 18,534.38 × 18,534.38
  4. Step 4: Simplify right side
    12,043.13x = 343,523,056.64
  5. Step 5: Solve for x
    x = 343,523,056.64/12,043.13
  6. Step 6: Final answer
    x = 28,524.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.