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Finding the Third Proportional to 38,304 and 56,088

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Solution

The third proportional to 38,304 and 56,088 is: 82,128.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304 : 56,088 = 56,088 : x
  2. Step 2: Convert to fraction form
    38,304/56,088 = 56,088/x
  3. Step 3: Cross multiply
    38,304x = 56,088 × 56,088
  4. Step 4: Simplify right side
    38,304x = 3,145,863,744
  5. Step 5: Solve for x
    x = 3,145,863,744/38,304
  6. Step 6: Final answer
    x = 82,128.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.