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Finding the Third Proportional to 22,887 and 33,715

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Solution

The third proportional to 22,887 and 33,715 is: 49,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,887 : 33,715 = 33,715 : x
  2. Step 2: Convert to fraction form
    22,887/33,715 = 33,715/x
  3. Step 3: Cross multiply
    22,887x = 33,715 × 33,715
  4. Step 4: Simplify right side
    22,887x = 1,136,701,225
  5. Step 5: Solve for x
    x = 1,136,701,225/22,887
  6. Step 6: Final answer
    x = 49,665.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.