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Finding the Third Proportional to 9,778.50 and 13,068

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Solution

The third proportional to 9,778.50 and 13,068 is: 17,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.50 : 13,068 = 13,068 : x
  2. Step 2: Convert to fraction form
    9,778.50/13,068 = 13,068/x
  3. Step 3: Cross multiply
    9,778.50x = 13,068 × 13,068
  4. Step 4: Simplify right side
    9,778.50x = 170,772,624
  5. Step 5: Solve for x
    x = 170,772,624/9,778.50
  6. Step 6: Final answer
    x = 17,464.09

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.