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Finding the Third Proportional to 14,494 and 23,038

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Solution

The third proportional to 14,494 and 23,038 is: 36,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494 : 23,038 = 23,038 : x
  2. Step 2: Convert to fraction form
    14,494/23,038 = 23,038/x
  3. Step 3: Cross multiply
    14,494x = 23,038 × 23,038
  4. Step 4: Simplify right side
    14,494x = 530,749,444
  5. Step 5: Solve for x
    x = 530,749,444/14,494
  6. Step 6: Final answer
    x = 36,618.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.