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Finding the Third Proportional to 30,524 and 64,328

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Solution

The third proportional to 30,524 and 64,328 is: 135,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524 : 64,328 = 64,328 : x
  2. Step 2: Convert to fraction form
    30,524/64,328 = 64,328/x
  3. Step 3: Cross multiply
    30,524x = 64,328 × 64,328
  4. Step 4: Simplify right side
    30,524x = 4,138,091,584
  5. Step 5: Solve for x
    x = 4,138,091,584/30,524
  6. Step 6: Final answer
    x = 135,568.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.