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Finding the Third Proportional to 5,845.50 and 13,756.50

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Solution

The third proportional to 5,845.50 and 13,756.50 is: 32,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.50 : 13,756.50 = 13,756.50 : x
  2. Step 2: Convert to fraction form
    5,845.50/13,756.50 = 13,756.50/x
  3. Step 3: Cross multiply
    5,845.50x = 13,756.50 × 13,756.50
  4. Step 4: Simplify right side
    5,845.50x = 189,241,292.25
  5. Step 5: Solve for x
    x = 189,241,292.25/5,845.50
  6. Step 6: Final answer
    x = 32,373.84

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.