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Finding the Third Proportional to 9,459.28 and 20,576.53

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Solution

The third proportional to 9,459.28 and 20,576.53 is: 44,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.28 : 20,576.53 = 20,576.53 : x
  2. Step 2: Convert to fraction form
    9,459.28/20,576.53 = 20,576.53/x
  3. Step 3: Cross multiply
    9,459.28x = 20,576.53 × 20,576.53
  4. Step 4: Simplify right side
    9,459.28x = 423,393,638.28
  5. Step 5: Solve for x
    x = 423,393,638.28/9,459.28
  6. Step 6: Final answer
    x = 44,759.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.