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Finding the Third Proportional to 38,968.75 and 58,716.38

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Solution

The third proportional to 38,968.75 and 58,716.38 is: 88,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,968.75 : 58,716.38 = 58,716.38 : x
  2. Step 2: Convert to fraction form
    38,968.75/58,716.38 = 58,716.38/x
  3. Step 3: Cross multiply
    38,968.75x = 58,716.38 × 58,716.38
  4. Step 4: Simplify right side
    38,968.75x = 3,447,612,693.14
  5. Step 5: Solve for x
    x = 3,447,612,693.14/38,968.75
  6. Step 6: Final answer
    x = 88,471.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.