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Finding the Third Proportional to 31,698.84 and 66,475.69

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Solution

The third proportional to 31,698.84 and 66,475.69 is: 139,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,698.84 : 66,475.69 = 66,475.69 : x
  2. Step 2: Convert to fraction form
    31,698.84/66,475.69 = 66,475.69/x
  3. Step 3: Cross multiply
    31,698.84x = 66,475.69 × 66,475.69
  4. Step 4: Simplify right side
    31,698.84x = 4,419,017,028.60
  5. Step 5: Solve for x
    x = 4,419,017,028.60/31,698.84
  6. Step 6: Final answer
    x = 139,406.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.