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Finding the Third Proportional to 13,752.75 and 23,977.13

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Solution

The third proportional to 13,752.75 and 23,977.13 is: 41,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.75 : 23,977.13 = 23,977.13 : x
  2. Step 2: Convert to fraction form
    13,752.75/23,977.13 = 23,977.13/x
  3. Step 3: Cross multiply
    13,752.75x = 23,977.13 × 23,977.13
  4. Step 4: Simplify right side
    13,752.75x = 574,902,523.27
  5. Step 5: Solve for x
    x = 574,902,523.27/13,752.75
  6. Step 6: Final answer
    x = 41,802.73

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.