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Finding the Third Proportional to 38,702.85 and 54,503.07

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Solution

The third proportional to 38,702.85 and 54,503.07 is: 76,753.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.85 : 54,503.07 = 54,503.07 : x
  2. Step 2: Convert to fraction form
    38,702.85/54,503.07 = 54,503.07/x
  3. Step 3: Cross multiply
    38,702.85x = 54,503.07 × 54,503.07
  4. Step 4: Simplify right side
    38,702.85x = 2,970,584,939.62
  5. Step 5: Solve for x
    x = 2,970,584,939.62/38,702.85
  6. Step 6: Final answer
    x = 76,753.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.