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Finding the Third Proportional to 16,827.75 and 36,068.63

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Solution

The third proportional to 16,827.75 and 36,068.63 is: 77,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.75 : 36,068.63 = 36,068.63 : x
  2. Step 2: Convert to fraction form
    16,827.75/36,068.63 = 36,068.63/x
  3. Step 3: Cross multiply
    16,827.75x = 36,068.63 × 36,068.63
  4. Step 4: Simplify right side
    16,827.75x = 1,300,945,709.39
  5. Step 5: Solve for x
    x = 1,300,945,709.39/16,827.75
  6. Step 6: Final answer
    x = 77,309.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.