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Finding the Third Proportional to 10,136 and 18,304

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Solution

The third proportional to 10,136 and 18,304 is: 33,054.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136 : 18,304 = 18,304 : x
  2. Step 2: Convert to fraction form
    10,136/18,304 = 18,304/x
  3. Step 3: Cross multiply
    10,136x = 18,304 × 18,304
  4. Step 4: Simplify right side
    10,136x = 335,036,416
  5. Step 5: Solve for x
    x = 335,036,416/10,136
  6. Step 6: Final answer
    x = 33,054.11

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.