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Finding the Third Proportional to 38,225.25 and 58,435.88

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Solution

The third proportional to 38,225.25 and 58,435.88 is: 89,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,225.25 : 58,435.88 = 58,435.88 : x
  2. Step 2: Convert to fraction form
    38,225.25/58,435.88 = 58,435.88/x
  3. Step 3: Cross multiply
    38,225.25x = 58,435.88 × 58,435.88
  4. Step 4: Simplify right side
    38,225.25x = 3,414,751,487.02
  5. Step 5: Solve for x
    x = 3,414,751,487.02/38,225.25
  6. Step 6: Final answer
    x = 89,332.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.