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Finding the Third Proportional to 38,171.25 and 56,109.38

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Solution

The third proportional to 38,171.25 and 56,109.38 is: 82,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,171.25 : 56,109.38 = 56,109.38 : x
  2. Step 2: Convert to fraction form
    38,171.25/56,109.38 = 56,109.38/x
  3. Step 3: Cross multiply
    38,171.25x = 56,109.38 × 56,109.38
  4. Step 4: Simplify right side
    38,171.25x = 3,148,261,962.89
  5. Step 5: Solve for x
    x = 3,148,261,962.89/38,171.25
  6. Step 6: Final answer
    x = 82,477.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.