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Finding the Third Proportional to 24,136 and 51,185

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Solution

The third proportional to 24,136 and 51,185 is: 108,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,136 : 51,185 = 51,185 : x
  2. Step 2: Convert to fraction form
    24,136/51,185 = 51,185/x
  3. Step 3: Cross multiply
    24,136x = 51,185 × 51,185
  4. Step 4: Simplify right side
    24,136x = 2,619,904,225
  5. Step 5: Solve for x
    x = 2,619,904,225/24,136
  6. Step 6: Final answer
    x = 108,547.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.