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Finding the Third Proportional to 11,152.88 and 16,310.25

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Solution

The third proportional to 11,152.88 and 16,310.25 is: 23,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.88 : 16,310.25 = 16,310.25 : x
  2. Step 2: Convert to fraction form
    11,152.88/16,310.25 = 16,310.25/x
  3. Step 3: Cross multiply
    11,152.88x = 16,310.25 × 16,310.25
  4. Step 4: Simplify right side
    11,152.88x = 266,024,255.06
  5. Step 5: Solve for x
    x = 266,024,255.06/11,152.88
  6. Step 6: Final answer
    x = 23,852.53

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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.