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Finding the Third Proportional to 31,149.56 and 49,518.84

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Solution

The third proportional to 31,149.56 and 49,518.84 is: 78,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.56 : 49,518.84 = 49,518.84 : x
  2. Step 2: Convert to fraction form
    31,149.56/49,518.84 = 49,518.84/x
  3. Step 3: Cross multiply
    31,149.56x = 49,518.84 × 49,518.84
  4. Step 4: Simplify right side
    31,149.56x = 2,452,115,886.34
  5. Step 5: Solve for x
    x = 2,452,115,886.34/31,149.56
  6. Step 6: Final answer
    x = 78,720.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.