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Finding the Third Proportional to 32,729 and 70,679

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Solution

The third proportional to 32,729 and 70,679 is: 152,632.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729 : 70,679 = 70,679 : x
  2. Step 2: Convert to fraction form
    32,729/70,679 = 70,679/x
  3. Step 3: Cross multiply
    32,729x = 70,679 × 70,679
  4. Step 4: Simplify right side
    32,729x = 4,995,521,041
  5. Step 5: Solve for x
    x = 4,995,521,041/32,729
  6. Step 6: Final answer
    x = 152,632.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.