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Finding the Third Proportional to 7,827 and 16,954.50

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Solution

The third proportional to 7,827 and 16,954.50 is: 36,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827 : 16,954.50 = 16,954.50 : x
  2. Step 2: Convert to fraction form
    7,827/16,954.50 = 16,954.50/x
  3. Step 3: Cross multiply
    7,827x = 16,954.50 × 16,954.50
  4. Step 4: Simplify right side
    7,827x = 287,455,070.25
  5. Step 5: Solve for x
    x = 287,455,070.25/7,827
  6. Step 6: Final answer
    x = 36,726.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.