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Finding the Third Proportional to 30,996 and 64,179

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Solution

The third proportional to 30,996 and 64,179 is: 132,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996 : 64,179 = 64,179 : x
  2. Step 2: Convert to fraction form
    30,996/64,179 = 64,179/x
  3. Step 3: Cross multiply
    30,996x = 64,179 × 64,179
  4. Step 4: Simplify right side
    30,996x = 4,118,944,041
  5. Step 5: Solve for x
    x = 4,118,944,041/30,996
  6. Step 6: Final answer
    x = 132,886.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.