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Finding the Third Proportional to 33,725 and 48,576

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Solution

The third proportional to 33,725 and 48,576 is: 69,966.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,725 : 48,576 = 48,576 : x
  2. Step 2: Convert to fraction form
    33,725/48,576 = 48,576/x
  3. Step 3: Cross multiply
    33,725x = 48,576 × 48,576
  4. Step 4: Simplify right side
    33,725x = 2,359,627,776
  5. Step 5: Solve for x
    x = 2,359,627,776/33,725
  6. Step 6: Final answer
    x = 69,966.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.