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Finding the Third Proportional to 11,128.50 and 16,364.25

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Solution

The third proportional to 11,128.50 and 16,364.25 is: 24,063.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,128.50 : 16,364.25 = 16,364.25 : x
  2. Step 2: Convert to fraction form
    11,128.50/16,364.25 = 16,364.25/x
  3. Step 3: Cross multiply
    11,128.50x = 16,364.25 × 16,364.25
  4. Step 4: Simplify right side
    11,128.50x = 267,788,678.06
  5. Step 5: Solve for x
    x = 267,788,678.06/11,128.50
  6. Step 6: Final answer
    x = 24,063.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.