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Finding the Third Proportional to 9,136 and 12,732

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Solution

The third proportional to 9,136 and 12,732 is: 17,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136 : 12,732 = 12,732 : x
  2. Step 2: Convert to fraction form
    9,136/12,732 = 12,732/x
  3. Step 3: Cross multiply
    9,136x = 12,732 × 12,732
  4. Step 4: Simplify right side
    9,136x = 162,103,824
  5. Step 5: Solve for x
    x = 162,103,824/9,136
  6. Step 6: Final answer
    x = 17,743.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.