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Finding the Third Proportional to 13,230 and 28,741.50

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Solution

The third proportional to 13,230 and 28,741.50 is: 62,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230 : 28,741.50 = 28,741.50 : x
  2. Step 2: Convert to fraction form
    13,230/28,741.50 = 28,741.50/x
  3. Step 3: Cross multiply
    13,230x = 28,741.50 × 28,741.50
  4. Step 4: Simplify right side
    13,230x = 826,073,822.25
  5. Step 5: Solve for x
    x = 826,073,822.25/13,230
  6. Step 6: Final answer
    x = 62,439.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.