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Finding the Third Proportional to 10,416 and 23,136

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Solution

The third proportional to 10,416 and 23,136 is: 51,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416 : 23,136 = 23,136 : x
  2. Step 2: Convert to fraction form
    10,416/23,136 = 23,136/x
  3. Step 3: Cross multiply
    10,416x = 23,136 × 23,136
  4. Step 4: Simplify right side
    10,416x = 535,274,496
  5. Step 5: Solve for x
    x = 535,274,496/10,416
  6. Step 6: Final answer
    x = 51,389.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.