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Finding the Third Proportional to 39,969 and 54,445.50

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Solution

The third proportional to 39,969 and 54,445.50 is: 74,165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,969 : 54,445.50 = 54,445.50 : x
  2. Step 2: Convert to fraction form
    39,969/54,445.50 = 54,445.50/x
  3. Step 3: Cross multiply
    39,969x = 54,445.50 × 54,445.50
  4. Step 4: Simplify right side
    39,969x = 2,964,312,470.25
  5. Step 5: Solve for x
    x = 2,964,312,470.25/39,969
  6. Step 6: Final answer
    x = 74,165.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.