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Finding the Third Proportional to 23,136 and 49,778

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Solution

The third proportional to 23,136 and 49,778 is: 107,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136 : 49,778 = 49,778 : x
  2. Step 2: Convert to fraction form
    23,136/49,778 = 49,778/x
  3. Step 3: Cross multiply
    23,136x = 49,778 × 49,778
  4. Step 4: Simplify right side
    23,136x = 2,477,849,284
  5. Step 5: Solve for x
    x = 2,477,849,284/23,136
  6. Step 6: Final answer
    x = 107,099.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.