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Finding the Third Proportional to 4,039.31 and 5,925.94

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Solution

The third proportional to 4,039.31 and 5,925.94 is: 8,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,039.31 : 5,925.94 = 5,925.94 : x
  2. Step 2: Convert to fraction form
    4,039.31/5,925.94 = 5,925.94/x
  3. Step 3: Cross multiply
    4,039.31x = 5,925.94 × 5,925.94
  4. Step 4: Simplify right side
    4,039.31x = 35,116,735.25
  5. Step 5: Solve for x
    x = 35,116,735.25/4,039.31
  6. Step 6: Final answer
    x = 8,693.74

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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.