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Finding the Third Proportional to 23,751 and 35,784

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Solution

The third proportional to 23,751 and 35,784 is: 53,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751 : 35,784 = 35,784 : x
  2. Step 2: Convert to fraction form
    23,751/35,784 = 35,784/x
  3. Step 3: Cross multiply
    23,751x = 35,784 × 35,784
  4. Step 4: Simplify right side
    23,751x = 1,280,494,656
  5. Step 5: Solve for x
    x = 1,280,494,656/23,751
  6. Step 6: Final answer
    x = 53,913.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.