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Finding the Third Proportional to 11,102.63 and 14,415.75

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Solution

The third proportional to 11,102.63 and 14,415.75 is: 18,717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.63 : 14,415.75 = 14,415.75 : x
  2. Step 2: Convert to fraction form
    11,102.63/14,415.75 = 14,415.75/x
  3. Step 3: Cross multiply
    11,102.63x = 14,415.75 × 14,415.75
  4. Step 4: Simplify right side
    11,102.63x = 207,813,848.06
  5. Step 5: Solve for x
    x = 207,813,848.06/11,102.63
  6. Step 6: Final answer
    x = 18,717.54

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.