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Finding the Third Proportional to 16,312 and 35,996

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Solution

The third proportional to 16,312 and 35,996 is: 79,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312 : 35,996 = 35,996 : x
  2. Step 2: Convert to fraction form
    16,312/35,996 = 35,996/x
  3. Step 3: Cross multiply
    16,312x = 35,996 × 35,996
  4. Step 4: Simplify right side
    16,312x = 1,295,712,016
  5. Step 5: Solve for x
    x = 1,295,712,016/16,312
  6. Step 6: Final answer
    x = 79,433.06

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.