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Finding the Third Proportional to 10,850.63 and 16,842.94

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Solution

The third proportional to 10,850.63 and 16,842.94 is: 26,144.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.63 : 16,842.94 = 16,842.94 : x
  2. Step 2: Convert to fraction form
    10,850.63/16,842.94 = 16,842.94/x
  3. Step 3: Cross multiply
    10,850.63x = 16,842.94 × 16,842.94
  4. Step 4: Simplify right side
    10,850.63x = 283,684,543.63
  5. Step 5: Solve for x
    x = 283,684,543.63/10,850.63
  6. Step 6: Final answer
    x = 26,144.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.