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Finding the Third Proportional to 13,076.44 and 21,059.16

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Solution

The third proportional to 13,076.44 and 21,059.16 is: 33,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.44 : 21,059.16 = 21,059.16 : x
  2. Step 2: Convert to fraction form
    13,076.44/21,059.16 = 21,059.16/x
  3. Step 3: Cross multiply
    13,076.44x = 21,059.16 × 21,059.16
  4. Step 4: Simplify right side
    13,076.44x = 443,488,061.96
  5. Step 5: Solve for x
    x = 443,488,061.96/13,076.44
  6. Step 6: Final answer
    x = 33,915.05

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.