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Finding the Third Proportional to 9,114.40 and 13,680.14

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Solution

The third proportional to 9,114.40 and 13,680.14 is: 20,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.40 : 13,680.14 = 13,680.14 : x
  2. Step 2: Convert to fraction form
    9,114.40/13,680.14 = 13,680.14/x
  3. Step 3: Cross multiply
    9,114.40x = 13,680.14 × 13,680.14
  4. Step 4: Simplify right side
    9,114.40x = 187,146,247.52
  5. Step 5: Solve for x
    x = 187,146,247.52/9,114.40
  6. Step 6: Final answer
    x = 20,533.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.