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Finding the Third Proportional to 52,035.75 and 74,364.75

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Solution

The third proportional to 52,035.75 and 74,364.75 is: 106,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.75 : 74,364.75 = 74,364.75 : x
  2. Step 2: Convert to fraction form
    52,035.75/74,364.75 = 74,364.75/x
  3. Step 3: Cross multiply
    52,035.75x = 74,364.75 × 74,364.75
  4. Step 4: Simplify right side
    52,035.75x = 5,530,116,042.56
  5. Step 5: Solve for x
    x = 5,530,116,042.56/52,035.75
  6. Step 6: Final answer
    x = 106,275.32

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.