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Finding the Third Proportional to 8,542.13 and 16,765.31

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Solution

The third proportional to 8,542.13 and 16,765.31 is: 32,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.13 : 16,765.31 = 16,765.31 : x
  2. Step 2: Convert to fraction form
    8,542.13/16,765.31 = 16,765.31/x
  3. Step 3: Cross multiply
    8,542.13x = 16,765.31 × 16,765.31
  4. Step 4: Simplify right side
    8,542.13x = 281,075,703.22
  5. Step 5: Solve for x
    x = 281,075,703.22/8,542.13
  6. Step 6: Final answer
    x = 32,904.66

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.