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Finding the Third Proportional to 14,537.25 and 27,250.88

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Solution

The third proportional to 14,537.25 and 27,250.88 is: 51,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.25 : 27,250.88 = 27,250.88 : x
  2. Step 2: Convert to fraction form
    14,537.25/27,250.88 = 27,250.88/x
  3. Step 3: Cross multiply
    14,537.25x = 27,250.88 × 27,250.88
  4. Step 4: Simplify right side
    14,537.25x = 742,610,188.27
  5. Step 5: Solve for x
    x = 742,610,188.27/14,537.25
  6. Step 6: Final answer
    x = 51,083.26

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.