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Finding the Third Proportional to 31,925.25 and 69,435

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Solution

The third proportional to 31,925.25 and 69,435 is: 151,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,925.25 : 69,435 = 69,435 : x
  2. Step 2: Convert to fraction form
    31,925.25/69,435 = 69,435/x
  3. Step 3: Cross multiply
    31,925.25x = 69,435 × 69,435
  4. Step 4: Simplify right side
    31,925.25x = 4,821,219,225
  5. Step 5: Solve for x
    x = 4,821,219,225/31,925.25
  6. Step 6: Final answer
    x = 151,015.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.