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Finding the Third Proportional to 14,550.75 and 24,537.38

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Solution

The third proportional to 14,550.75 and 24,537.38 is: 41,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,550.75 : 24,537.38 = 24,537.38 : x
  2. Step 2: Convert to fraction form
    14,550.75/24,537.38 = 24,537.38/x
  3. Step 3: Cross multiply
    14,550.75x = 24,537.38 × 24,537.38
  4. Step 4: Simplify right side
    14,550.75x = 602,082,771.89
  5. Step 5: Solve for x
    x = 602,082,771.89/14,550.75
  6. Step 6: Final answer
    x = 41,378.13

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.