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Finding the Third Proportional to 13,136 and 17,752

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Solution

The third proportional to 13,136 and 17,752 is: 23,990.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136 : 17,752 = 17,752 : x
  2. Step 2: Convert to fraction form
    13,136/17,752 = 17,752/x
  3. Step 3: Cross multiply
    13,136x = 17,752 × 17,752
  4. Step 4: Simplify right side
    13,136x = 315,133,504
  5. Step 5: Solve for x
    x = 315,133,504/13,136
  6. Step 6: Final answer
    x = 23,990.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.