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Finding the Third Proportional to 14,271.19 and 29,468.81

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Solution

The third proportional to 14,271.19 and 29,468.81 is: 60,850.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.19 : 29,468.81 = 29,468.81 : x
  2. Step 2: Convert to fraction form
    14,271.19/29,468.81 = 29,468.81/x
  3. Step 3: Cross multiply
    14,271.19x = 29,468.81 × 29,468.81
  4. Step 4: Simplify right side
    14,271.19x = 868,410,910.16
  5. Step 5: Solve for x
    x = 868,410,910.16/14,271.19
  6. Step 6: Final answer
    x = 60,850.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.