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Finding the Third Proportional to 32,426.50 and 50,078

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Solution

The third proportional to 32,426.50 and 50,078 is: 77,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,426.50 : 50,078 = 50,078 : x
  2. Step 2: Convert to fraction form
    32,426.50/50,078 = 50,078/x
  3. Step 3: Cross multiply
    32,426.50x = 50,078 × 50,078
  4. Step 4: Simplify right side
    32,426.50x = 2,507,806,084
  5. Step 5: Solve for x
    x = 2,507,806,084/32,426.50
  6. Step 6: Final answer
    x = 77,338.17

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.