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Finding the Third Proportional to 11,276.46 and 15,765.16

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Solution

The third proportional to 11,276.46 and 15,765.16 is: 22,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276.46 : 15,765.16 = 15,765.16 : x
  2. Step 2: Convert to fraction form
    11,276.46/15,765.16 = 15,765.16/x
  3. Step 3: Cross multiply
    11,276.46x = 15,765.16 × 15,765.16
  4. Step 4: Simplify right side
    11,276.46x = 248,540,397.92
  5. Step 5: Solve for x
    x = 248,540,397.92/11,276.46
  6. Step 6: Final answer
    x = 22,040.64

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.