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Finding the Third Proportional to 39,674.50 and 52,653.75

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Solution

The third proportional to 39,674.50 and 52,653.75 is: 69,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,674.50 : 52,653.75 = 52,653.75 : x
  2. Step 2: Convert to fraction form
    39,674.50/52,653.75 = 52,653.75/x
  3. Step 3: Cross multiply
    39,674.50x = 52,653.75 × 52,653.75
  4. Step 4: Simplify right side
    39,674.50x = 2,772,417,389.06
  5. Step 5: Solve for x
    x = 2,772,417,389.06/39,674.50
  6. Step 6: Final answer
    x = 69,879.08

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.