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Finding the Third Proportional to 35,732 and 76,211

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Solution

The third proportional to 35,732 and 76,211 is: 162,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,732 : 76,211 = 76,211 : x
  2. Step 2: Convert to fraction form
    35,732/76,211 = 76,211/x
  3. Step 3: Cross multiply
    35,732x = 76,211 × 76,211
  4. Step 4: Simplify right side
    35,732x = 5,808,116,521
  5. Step 5: Solve for x
    x = 5,808,116,521/35,732
  6. Step 6: Final answer
    x = 162,546.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.