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Finding the Third Proportional to 11,214.07 and 16,319.92

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Solution

The third proportional to 11,214.07 and 16,319.92 is: 23,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.07 : 16,319.92 = 16,319.92 : x
  2. Step 2: Convert to fraction form
    11,214.07/16,319.92 = 16,319.92/x
  3. Step 3: Cross multiply
    11,214.07x = 16,319.92 × 16,319.92
  4. Step 4: Simplify right side
    11,214.07x = 266,339,722.51
  5. Step 5: Solve for x
    x = 266,339,722.51/11,214.07
  6. Step 6: Final answer
    x = 23,750.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.