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Finding the Third Proportional to 16,965 and 36,941.63

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Solution

The third proportional to 16,965 and 36,941.63 is: 80,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965 : 36,941.63 = 36,941.63 : x
  2. Step 2: Convert to fraction form
    16,965/36,941.63 = 36,941.63/x
  3. Step 3: Cross multiply
    16,965x = 36,941.63 × 36,941.63
  4. Step 4: Simplify right side
    16,965x = 1,364,683,657.64
  5. Step 5: Solve for x
    x = 1,364,683,657.64/16,965
  6. Step 6: Final answer
    x = 80,441.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.