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Finding the Third Proportional to 31,705.17 and 49,160.67

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Solution

The third proportional to 31,705.17 and 49,160.67 is: 76,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.17 : 49,160.67 = 49,160.67 : x
  2. Step 2: Convert to fraction form
    31,705.17/49,160.67 = 49,160.67/x
  3. Step 3: Cross multiply
    31,705.17x = 49,160.67 × 49,160.67
  4. Step 4: Simplify right side
    31,705.17x = 2,416,771,659.20
  5. Step 5: Solve for x
    x = 2,416,771,659.20/31,705.17
  6. Step 6: Final answer
    x = 76,226.42

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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.