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Finding the Third Proportional to 16,276 and 24,764

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Solution

The third proportional to 16,276 and 24,764 is: 37,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276 : 24,764 = 24,764 : x
  2. Step 2: Convert to fraction form
    16,276/24,764 = 24,764/x
  3. Step 3: Cross multiply
    16,276x = 24,764 × 24,764
  4. Step 4: Simplify right side
    16,276x = 613,255,696
  5. Step 5: Solve for x
    x = 613,255,696/16,276
  6. Step 6: Final answer
    x = 37,678.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.