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Finding the Third Proportional to 31,107.38 and 46,915.94

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Solution

The third proportional to 31,107.38 and 46,915.94 is: 70,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.38 : 46,915.94 = 46,915.94 : x
  2. Step 2: Convert to fraction form
    31,107.38/46,915.94 = 46,915.94/x
  3. Step 3: Cross multiply
    31,107.38x = 46,915.94 × 46,915.94
  4. Step 4: Simplify right side
    31,107.38x = 2,201,105,191.50
  5. Step 5: Solve for x
    x = 2,201,105,191.50/31,107.38
  6. Step 6: Final answer
    x = 70,758.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.