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Finding the Third Proportional to 13,338.42 and 28,146.23

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Solution

The third proportional to 13,338.42 and 28,146.23 is: 59,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.42 : 28,146.23 = 28,146.23 : x
  2. Step 2: Convert to fraction form
    13,338.42/28,146.23 = 28,146.23/x
  3. Step 3: Cross multiply
    13,338.42x = 28,146.23 × 28,146.23
  4. Step 4: Simplify right side
    13,338.42x = 792,210,509.49
  5. Step 5: Solve for x
    x = 792,210,509.49/13,338.42
  6. Step 6: Final answer
    x = 59,393.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.