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Finding the Third Proportional to 31,303.50 and 49,765.50

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Solution

The third proportional to 31,303.50 and 49,765.50 is: 79,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.50 : 49,765.50 = 49,765.50 : x
  2. Step 2: Convert to fraction form
    31,303.50/49,765.50 = 49,765.50/x
  3. Step 3: Cross multiply
    31,303.50x = 49,765.50 × 49,765.50
  4. Step 4: Simplify right side
    31,303.50x = 2,476,604,990.25
  5. Step 5: Solve for x
    x = 2,476,604,990.25/31,303.50
  6. Step 6: Final answer
    x = 79,115.91

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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.