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Finding the Third Proportional to 30,576 and 63,108

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Solution

The third proportional to 30,576 and 63,108 is: 130,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576 : 63,108 = 63,108 : x
  2. Step 2: Convert to fraction form
    30,576/63,108 = 63,108/x
  3. Step 3: Cross multiply
    30,576x = 63,108 × 63,108
  4. Step 4: Simplify right side
    30,576x = 3,982,619,664
  5. Step 5: Solve for x
    x = 3,982,619,664/30,576
  6. Step 6: Final answer
    x = 130,253.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.