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Finding the Third Proportional to 11,502.50 and 16,193.75

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Solution

The third proportional to 11,502.50 and 16,193.75 is: 22,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.50 : 16,193.75 = 16,193.75 : x
  2. Step 2: Convert to fraction form
    11,502.50/16,193.75 = 16,193.75/x
  3. Step 3: Cross multiply
    11,502.50x = 16,193.75 × 16,193.75
  4. Step 4: Simplify right side
    11,502.50x = 262,237,539.06
  5. Step 5: Solve for x
    x = 262,237,539.06/11,502.50
  6. Step 6: Final answer
    x = 22,798.31

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.