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Finding the Third Proportional to 48,380.63 and 74,758.13

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Solution

The third proportional to 48,380.63 and 74,758.13 is: 115,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,380.63 : 74,758.13 = 74,758.13 : x
  2. Step 2: Convert to fraction form
    48,380.63/74,758.13 = 74,758.13/x
  3. Step 3: Cross multiply
    48,380.63x = 74,758.13 × 74,758.13
  4. Step 4: Simplify right side
    48,380.63x = 5,588,777,253.52
  5. Step 5: Solve for x
    x = 5,588,777,253.52/48,380.63
  6. Step 6: Final answer
    x = 115,516.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.