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Finding the Third Proportional to 6,558 and 13,756.50

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Solution

The third proportional to 6,558 and 13,756.50 is: 28,856.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558 : 13,756.50 = 13,756.50 : x
  2. Step 2: Convert to fraction form
    6,558/13,756.50 = 13,756.50/x
  3. Step 3: Cross multiply
    6,558x = 13,756.50 × 13,756.50
  4. Step 4: Simplify right side
    6,558x = 189,241,292.25
  5. Step 5: Solve for x
    x = 189,241,292.25/6,558
  6. Step 6: Final answer
    x = 28,856.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.