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Finding the Third Proportional to 16,484.50 and 35,705

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Solution

The third proportional to 16,484.50 and 35,705 is: 77,336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.50 : 35,705 = 35,705 : x
  2. Step 2: Convert to fraction form
    16,484.50/35,705 = 35,705/x
  3. Step 3: Cross multiply
    16,484.50x = 35,705 × 35,705
  4. Step 4: Simplify right side
    16,484.50x = 1,274,847,025
  5. Step 5: Solve for x
    x = 1,274,847,025/16,484.50
  6. Step 6: Final answer
    x = 77,336.11

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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.