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Finding the Third Proportional to 14,500 and 23,045

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Solution

The third proportional to 14,500 and 23,045 is: 36,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,500 : 23,045 = 23,045 : x
  2. Step 2: Convert to fraction form
    14,500/23,045 = 23,045/x
  3. Step 3: Cross multiply
    14,500x = 23,045 × 23,045
  4. Step 4: Simplify right side
    14,500x = 531,072,025
  5. Step 5: Solve for x
    x = 531,072,025/14,500
  6. Step 6: Final answer
    x = 36,625.66

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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.