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Finding the Third Proportional to 31,715 and 49,388

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Solution

The third proportional to 31,715 and 49,388 is: 76,909.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,715 : 49,388 = 49,388 : x
  2. Step 2: Convert to fraction form
    31,715/49,388 = 49,388/x
  3. Step 3: Cross multiply
    31,715x = 49,388 × 49,388
  4. Step 4: Simplify right side
    31,715x = 2,439,174,544
  5. Step 5: Solve for x
    x = 2,439,174,544/31,715
  6. Step 6: Final answer
    x = 76,909.18

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.