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Finding the Third Proportional to 30,576 and 38,312

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Solution

The third proportional to 30,576 and 38,312 is: 48,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576 : 38,312 = 38,312 : x
  2. Step 2: Convert to fraction form
    30,576/38,312 = 38,312/x
  3. Step 3: Cross multiply
    30,576x = 38,312 × 38,312
  4. Step 4: Simplify right side
    30,576x = 1,467,809,344
  5. Step 5: Solve for x
    x = 1,467,809,344/30,576
  6. Step 6: Final answer
    x = 48,005.28

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.