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Finding the Third Proportional to 11,877.75 and 14,037.75

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Solution

The third proportional to 11,877.75 and 14,037.75 is: 16,590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,877.75 : 14,037.75 = 14,037.75 : x
  2. Step 2: Convert to fraction form
    11,877.75/14,037.75 = 14,037.75/x
  3. Step 3: Cross multiply
    11,877.75x = 14,037.75 × 14,037.75
  4. Step 4: Simplify right side
    11,877.75x = 197,058,425.06
  5. Step 5: Solve for x
    x = 197,058,425.06/11,877.75
  6. Step 6: Final answer
    x = 16,590.55

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.