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Finding the Third Proportional to 8,771.63 and 16,734.94

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Solution

The third proportional to 8,771.63 and 16,734.94 is: 31,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.63 : 16,734.94 = 16,734.94 : x
  2. Step 2: Convert to fraction form
    8,771.63/16,734.94 = 16,734.94/x
  3. Step 3: Cross multiply
    8,771.63x = 16,734.94 × 16,734.94
  4. Step 4: Simplify right side
    8,771.63x = 280,058,133.13
  5. Step 5: Solve for x
    x = 280,058,133.13/8,771.63
  6. Step 6: Final answer
    x = 31,927.74

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.