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Finding the Third Proportional to 11,242.25 and 16,498.75

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Solution

The third proportional to 11,242.25 and 16,498.75 is: 24,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.25 : 16,498.75 = 16,498.75 : x
  2. Step 2: Convert to fraction form
    11,242.25/16,498.75 = 16,498.75/x
  3. Step 3: Cross multiply
    11,242.25x = 16,498.75 × 16,498.75
  4. Step 4: Simplify right side
    11,242.25x = 272,208,751.56
  5. Step 5: Solve for x
    x = 272,208,751.56/11,242.25
  6. Step 6: Final answer
    x = 24,213.01

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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.