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Finding the Third Proportional to 44,702.75 and 95,895.75

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Solution

The third proportional to 44,702.75 and 95,895.75 is: 205,714.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,702.75 : 95,895.75 = 95,895.75 : x
  2. Step 2: Convert to fraction form
    44,702.75/95,895.75 = 95,895.75/x
  3. Step 3: Cross multiply
    44,702.75x = 95,895.75 × 95,895.75
  4. Step 4: Simplify right side
    44,702.75x = 9,195,994,868.06
  5. Step 5: Solve for x
    x = 9,195,994,868.06/44,702.75
  6. Step 6: Final answer
    x = 205,714.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.