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Finding the Third Proportional to 14,043 and 30,729

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Solution

The third proportional to 14,043 and 30,729 is: 67,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,043 : 30,729 = 30,729 : x
  2. Step 2: Convert to fraction form
    14,043/30,729 = 30,729/x
  3. Step 3: Cross multiply
    14,043x = 30,729 × 30,729
  4. Step 4: Simplify right side
    14,043x = 944,271,441
  5. Step 5: Solve for x
    x = 944,271,441/14,043
  6. Step 6: Final answer
    x = 67,241.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.