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Finding the Third Proportional to 30,960 and 44,226

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Solution

The third proportional to 30,960 and 44,226 is: 63,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960 : 44,226 = 44,226 : x
  2. Step 2: Convert to fraction form
    30,960/44,226 = 44,226/x
  3. Step 3: Cross multiply
    30,960x = 44,226 × 44,226
  4. Step 4: Simplify right side
    30,960x = 1,955,939,076
  5. Step 5: Solve for x
    x = 1,955,939,076/30,960
  6. Step 6: Final answer
    x = 63,176.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.