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Finding the Third Proportional to 51,257.81 and 74,631.38

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Solution

The third proportional to 51,257.81 and 74,631.38 is: 108,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257.81 : 74,631.38 = 74,631.38 : x
  2. Step 2: Convert to fraction form
    51,257.81/74,631.38 = 74,631.38/x
  3. Step 3: Cross multiply
    51,257.81x = 74,631.38 × 74,631.38
  4. Step 4: Simplify right side
    51,257.81x = 5,569,842,134.39
  5. Step 5: Solve for x
    x = 5,569,842,134.39/51,257.81
  6. Step 6: Final answer
    x = 108,663.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.