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Finding the Third Proportional to 21,197 and 31,435

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Solution

The third proportional to 21,197 and 31,435 is: 46,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197 : 31,435 = 31,435 : x
  2. Step 2: Convert to fraction form
    21,197/31,435 = 31,435/x
  3. Step 3: Cross multiply
    21,197x = 31,435 × 31,435
  4. Step 4: Simplify right side
    21,197x = 988,159,225
  5. Step 5: Solve for x
    x = 988,159,225/21,197
  6. Step 6: Final answer
    x = 46,617.88

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.