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Finding the Third Proportional to 49,529.81 and 74,529.28

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Solution

The third proportional to 49,529.81 and 74,529.28 is: 112,146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,529.81 : 74,529.28 = 74,529.28 : x
  2. Step 2: Convert to fraction form
    49,529.81/74,529.28 = 74,529.28/x
  3. Step 3: Cross multiply
    49,529.81x = 74,529.28 × 74,529.28
  4. Step 4: Simplify right side
    49,529.81x = 5,554,613,763.64
  5. Step 5: Solve for x
    x = 5,554,613,763.64/49,529.81
  6. Step 6: Final answer
    x = 112,146.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.