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Finding the Third Proportional to 15,948 and 24,356

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Solution

The third proportional to 15,948 and 24,356 is: 37,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,948 : 24,356 = 24,356 : x
  2. Step 2: Convert to fraction form
    15,948/24,356 = 24,356/x
  3. Step 3: Cross multiply
    15,948x = 24,356 × 24,356
  4. Step 4: Simplify right side
    15,948x = 593,214,736
  5. Step 5: Solve for x
    x = 593,214,736/15,948
  6. Step 6: Final answer
    x = 37,196.81

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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.