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Finding the Third Proportional to 14,257.27 and 20,915.09

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Solution

The third proportional to 14,257.27 and 20,915.09 is: 30,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.27 : 20,915.09 = 20,915.09 : x
  2. Step 2: Convert to fraction form
    14,257.27/20,915.09 = 20,915.09/x
  3. Step 3: Cross multiply
    14,257.27x = 20,915.09 × 20,915.09
  4. Step 4: Simplify right side
    14,257.27x = 437,440,819.77
  5. Step 5: Solve for x
    x = 437,440,819.77/14,257.27
  6. Step 6: Final answer
    x = 30,681.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.