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Finding the Third Proportional to 23,968 and 36,788

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Solution

The third proportional to 23,968 and 36,788 is: 56,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968 : 36,788 = 36,788 : x
  2. Step 2: Convert to fraction form
    23,968/36,788 = 36,788/x
  3. Step 3: Cross multiply
    23,968x = 36,788 × 36,788
  4. Step 4: Simplify right side
    23,968x = 1,353,356,944
  5. Step 5: Solve for x
    x = 1,353,356,944/23,968
  6. Step 6: Final answer
    x = 56,465.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.