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Finding the Third Proportional to 52,338.94 and 74,756.81

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Solution

The third proportional to 52,338.94 and 74,756.81 is: 106,776.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338.94 : 74,756.81 = 74,756.81 : x
  2. Step 2: Convert to fraction form
    52,338.94/74,756.81 = 74,756.81/x
  3. Step 3: Cross multiply
    52,338.94x = 74,756.81 × 74,756.81
  4. Step 4: Simplify right side
    52,338.94x = 5,588,581,015.16
  5. Step 5: Solve for x
    x = 5,588,581,015.16/52,338.94
  6. Step 6: Final answer
    x = 106,776.74

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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.