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Finding the Third Proportional to 32,398 and 70,802

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Solution

The third proportional to 32,398 and 70,802 is: 154,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398 : 70,802 = 70,802 : x
  2. Step 2: Convert to fraction form
    32,398/70,802 = 70,802/x
  3. Step 3: Cross multiply
    32,398x = 70,802 × 70,802
  4. Step 4: Simplify right side
    32,398x = 5,012,923,204
  5. Step 5: Solve for x
    x = 5,012,923,204/32,398
  6. Step 6: Final answer
    x = 154,729.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.