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Finding the Third Proportional to 38,463.75 and 58,226.06

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Solution

The third proportional to 38,463.75 and 58,226.06 is: 88,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,463.75 : 58,226.06 = 58,226.06 : x
  2. Step 2: Convert to fraction form
    38,463.75/58,226.06 = 58,226.06/x
  3. Step 3: Cross multiply
    38,463.75x = 58,226.06 × 58,226.06
  4. Step 4: Simplify right side
    38,463.75x = 3,390,274,354.25
  5. Step 5: Solve for x
    x = 3,390,274,354.25/38,463.75
  6. Step 6: Final answer
    x = 88,142.07

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