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Finding the Third Proportional to 18,964 and 29,745

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Solution

The third proportional to 18,964 and 29,745 is: 46,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,964 : 29,745 = 29,745 : x
  2. Step 2: Convert to fraction form
    18,964/29,745 = 29,745/x
  3. Step 3: Cross multiply
    18,964x = 29,745 × 29,745
  4. Step 4: Simplify right side
    18,964x = 884,765,025
  5. Step 5: Solve for x
    x = 884,765,025/18,964
  6. Step 6: Final answer
    x = 46,654.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.