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Finding the Third Proportional to 31,028.50 and 49,155

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Solution

The third proportional to 31,028.50 and 49,155 is: 77,870.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,028.50 : 49,155 = 49,155 : x
  2. Step 2: Convert to fraction form
    31,028.50/49,155 = 49,155/x
  3. Step 3: Cross multiply
    31,028.50x = 49,155 × 49,155
  4. Step 4: Simplify right side
    31,028.50x = 2,416,214,025
  5. Step 5: Solve for x
    x = 2,416,214,025/31,028.50
  6. Step 6: Final answer
    x = 77,870.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.