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Finding the Third Proportional to 38,862.75 and 84,568.13

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Solution

The third proportional to 38,862.75 and 84,568.13 is: 184,026.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862.75 : 84,568.13 = 84,568.13 : x
  2. Step 2: Convert to fraction form
    38,862.75/84,568.13 = 84,568.13/x
  3. Step 3: Cross multiply
    38,862.75x = 84,568.13 × 84,568.13
  4. Step 4: Simplify right side
    38,862.75x = 7,151,767,766.02
  5. Step 5: Solve for x
    x = 7,151,767,766.02/38,862.75
  6. Step 6: Final answer
    x = 184,026.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.