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Finding the Third Proportional to 9,154.88 and 13,732.31

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Solution

The third proportional to 9,154.88 and 13,732.31 is: 20,598.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.88 : 13,732.31 = 13,732.31 : x
  2. Step 2: Convert to fraction form
    9,154.88/13,732.31 = 13,732.31/x
  3. Step 3: Cross multiply
    9,154.88x = 13,732.31 × 13,732.31
  4. Step 4: Simplify right side
    9,154.88x = 188,576,406.60
  5. Step 5: Solve for x
    x = 188,576,406.60/9,154.88
  6. Step 6: Final answer
    x = 20,598.47

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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.