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Finding the Third Proportional to 38,085.75 and 58,020.75

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Solution

The third proportional to 38,085.75 and 58,020.75 is: 88,390.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,085.75 : 58,020.75 = 58,020.75 : x
  2. Step 2: Convert to fraction form
    38,085.75/58,020.75 = 58,020.75/x
  3. Step 3: Cross multiply
    38,085.75x = 58,020.75 × 58,020.75
  4. Step 4: Simplify right side
    38,085.75x = 3,366,407,430.56
  5. Step 5: Solve for x
    x = 3,366,407,430.56/38,085.75
  6. Step 6: Final answer
    x = 88,390.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.