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Finding the Third Proportional to 5,654.50 and 13,101.25

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Solution

The third proportional to 5,654.50 and 13,101.25 is: 30,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.50 : 13,101.25 = 13,101.25 : x
  2. Step 2: Convert to fraction form
    5,654.50/13,101.25 = 13,101.25/x
  3. Step 3: Cross multiply
    5,654.50x = 13,101.25 × 13,101.25
  4. Step 4: Simplify right side
    5,654.50x = 171,642,751.56
  5. Step 5: Solve for x
    x = 171,642,751.56/5,654.50
  6. Step 6: Final answer
    x = 30,355.07

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.