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Finding the Third Proportional to 23,966 and 36,784

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Solution

The third proportional to 23,966 and 36,784 is: 56,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,966 : 36,784 = 36,784 : x
  2. Step 2: Convert to fraction form
    23,966/36,784 = 36,784/x
  3. Step 3: Cross multiply
    23,966x = 36,784 × 36,784
  4. Step 4: Simplify right side
    23,966x = 1,353,062,656
  5. Step 5: Solve for x
    x = 1,353,062,656/23,966
  6. Step 6: Final answer
    x = 56,457.59

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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.