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Finding the Third Proportional to 9,284.63 and 12,261.38

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Solution

The third proportional to 9,284.63 and 12,261.38 is: 16,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.63 : 12,261.38 = 12,261.38 : x
  2. Step 2: Convert to fraction form
    9,284.63/12,261.38 = 12,261.38/x
  3. Step 3: Cross multiply
    9,284.63x = 12,261.38 × 12,261.38
  4. Step 4: Simplify right side
    9,284.63x = 150,341,316.89
  5. Step 5: Solve for x
    x = 150,341,316.89/9,284.63
  6. Step 6: Final answer
    x = 16,192.50

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.