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Finding the Third Proportional to 38,304 and 82,773

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Solution

The third proportional to 38,304 and 82,773 is: 178,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304 : 82,773 = 82,773 : x
  2. Step 2: Convert to fraction form
    38,304/82,773 = 82,773/x
  3. Step 3: Cross multiply
    38,304x = 82,773 × 82,773
  4. Step 4: Simplify right side
    38,304x = 6,851,369,529
  5. Step 5: Solve for x
    x = 6,851,369,529/38,304
  6. Step 6: Final answer
    x = 178,868.25

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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.