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Finding the Third Proportional to 51,033.38 and 74,768.06

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Solution

The third proportional to 51,033.38 and 74,768.06 is: 109,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,033.38 : 74,768.06 = 74,768.06 : x
  2. Step 2: Convert to fraction form
    51,033.38/74,768.06 = 74,768.06/x
  3. Step 3: Cross multiply
    51,033.38x = 74,768.06 × 74,768.06
  4. Step 4: Simplify right side
    51,033.38x = 5,590,263,170.00
  5. Step 5: Solve for x
    x = 5,590,263,170.00/51,033.38
  6. Step 6: Final answer
    x = 109,541.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.