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Finding the Third Proportional to 31,507.88 and 48,785.63

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Solution

The third proportional to 31,507.88 and 48,785.63 is: 75,537.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,507.88 : 48,785.63 = 48,785.63 : x
  2. Step 2: Convert to fraction form
    31,507.88/48,785.63 = 48,785.63/x
  3. Step 3: Cross multiply
    31,507.88x = 48,785.63 × 48,785.63
  4. Step 4: Simplify right side
    31,507.88x = 2,380,037,206.64
  5. Step 5: Solve for x
    x = 2,380,037,206.64/31,507.88
  6. Step 6: Final answer
    x = 75,537.85

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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.