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Finding the Third Proportional to 49,233.56 and 74,432.63

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Solution

The third proportional to 49,233.56 and 74,432.63 is: 112,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,233.56 : 74,432.63 = 74,432.63 : x
  2. Step 2: Convert to fraction form
    49,233.56/74,432.63 = 74,432.63/x
  3. Step 3: Cross multiply
    49,233.56x = 74,432.63 × 74,432.63
  4. Step 4: Simplify right side
    49,233.56x = 5,540,215,664.39
  5. Step 5: Solve for x
    x = 5,540,215,664.39/49,233.56
  6. Step 6: Final answer
    x = 112,529.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.